Simplify the expression. Write your answer as a power.
8¹⁰x8⁴
The simplified expression is

Simplify The Expression. Write Your Answer As A Power.8x8The Simplified Expression Is

Answers

Answer 1

Answer:

[tex]8^{14}[/tex]

Step-by-step explanation:

When we multiply exponents with the same base, the product it the base to the power of the exponents added together. In this case, the base will remain as 8 and the exponent will be 10 + 4 = 14. Therefore, the answer is [tex]8^{14}[/tex].

Answer 2

Answer:

[tex]\large\boxed{\sf \sf 8^{14}}[/tex]

Explanation:

[tex]\rightarrow \sf 8^{10} \ \ x \ \ 8^4[/tex]

apply exponent rule: [tex]\sf \bf a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]\rightarrow \sf 8^{10+4}[/tex]

[tex]\rightarrow \sf 8^{14}[/tex]


Related Questions

Is 4,-1 a solution to y+1=3(x-4)

Answers

no it is not a solution so sad for you :(

Answer

I don’t quite understand what your asking but I hope this helps

y=3x-13

Step-by-step explanation:

1/2x +3x = 14
steps?

Answers

Answer: x = 4

Step-by-Step Explanation:

=> 1/2x + 3x = 14
x/2 + 3x = 14 (Take 2 as LCM)
x/2 + 6x/2 = 14 (Now, shift 2 to RHS)
x + 6x = 14 * 2
x + 6x = 28
7x = 28
x = 28/7
=> x = 4

Therefore, x = 4

Answer: Heyaa! ~

Your Answer would be.. =4

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Convert the integer into a fraction:Combine the fractions:Combine the numerators:

Multiply both sides by inverse fraction 2/7:Group like terms:Simplify the fraction:Multiply the fractions:Simplify the arithmetic:

Hopefully this helps you ! ^^

Which of these is a correct expansion of (3x − 1)(4x² + 5)?

OA. 3x 4x2 + 3x 5+1 4x² +1.5

OB. 3x. 4x² + 3x • 5+ (−1) • 4x² + (−1) • 5

OC. 3x 4x² + (-1). 4x² + 4x².5+ (-1).5

Answers

The correct expansion is B. 3x. 4x^2 + 3x•5 + (-1) • 4x^2+ (-1) • 5


Point P is located at (-2, 7), and point R is located at (1, 0). Find the y value for the point Q that is located 2/3 the distance from point P to point R.
A. 4.9
B. 4.7
C. 2.5
D. 2.3

Answers

A 4.9 trust me bro dog solami meat

Consider the graph of the function f(x)=(x−2)12 below. Which statements are true about the function f(x) ? Choose all that are correct. A The minimum value of f(x) occurs at the point x=0 . B The function does not reach a maximum value. C The function is increasing for all values of x larger than 2. D For some values of x , f(x)<0 . E The function is decreasing for all values of x smaller than 2.

Answers

The correct statements regarding the function in the graph are given as follows:

B. The function does not reach a maximum value.

C The function is increasing for all values of x larger than 2.

What are the correct statements regarding the function?

The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.

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Which of the following is NOT a rational number?
A
√121
B
√12.1
C
√1.21
D
√0.0121

Answers

Answer:

A rational number is a number that can be expressed as a fraction (the ratio of two integers).  

Integer:  A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

[tex]\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}[/tex]

[tex]\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}[/tex]

[tex]\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}[/tex]

[tex]\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}[/tex]

Therefore, [tex]\sf \sqrt{12.1}[/tex] is not a rational number.

what is a good approximating for 4pi^3

Answers

Answer: 123.84

Step-by-step explanation: You can set pi as 3.14. Then, you get 123.836576. Round to the nearest hundredth to get 123.84.

One marble is randomly drawn and then replaced from a jar containing two white marbles and one
black marble. A second marble is drawn. What is the probability of drawing a white and then a
black?

Answers

Answer:

1/3.

Step-by-step explanation:

Prob(Drawing white marble) = 2/3

Prob(Drawing a black marble on second draw ) =  1/2

So:

Prob(Drawing a white then a red marble) = 2/3 * 1/2

= 2/6

= 1/3.

Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.

PLEASE HELP

Answers

Answer:

1. Dogs are generally heavier than the cats.

2. The dogs have a much larger variety in their weights and size than cats.

Step-by-step explanation:

WILL GIVE 100 POINTS PLS HELP RN EVEN IF ITS JUST A FEW

In order to determine the best fit undergraduate program, a high school senior researches the majors offered at the universities he is considering for admissions. The internet search reports that Arizona State University lists nine of their most popular majors and the percent of student population enrolled in the programs.


Popular Majors Percent of Student Body
Biology 8%
Business Marketing 20%
Communications/Journali 6%
Education 5%
Engineering 7%
Interdisciplinary Studies 6%
Psychology 6%
Social Sciences 10%
Visual and Performing Arts 8%

The university’s enrollment is expected to reach at least 20,000 students for the fall semester.
1. The minimum number of students who are expected to be working towards a Social Sciences degree is ???

2. The university requires that any student who is studying Visual and Performing Arts or Communications Journalism must perform in one of the student productions before graduation. At least ??? of the 20,000 students will be performing in the university’s student productions before graduation.

3.
In the fall semester, ???% of the student population will be enrolled in a degree program not listed as one of the university’s most popular.
The most popular degree offered at Arizona State University is ???

4. The most popular degree offered at Arizona State University is ???

5. For the fall semester, the university should expect that ??? students will enroll in one of the two most popular degree programs.

Answers

1. 20,000×10%=2,000

2. 20,000×14%=2,800

3. 20,000×5%=1,000

4. Business Marketing

5. 20,000×30%=6,000

Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10?

Answers

The given equation is equivalent to Option D .

The mission option is

A. x+10= x+10

B. x+9 =x² + 20x + 100

C. x² +81 = x² + 100

D. x² + 81 = x² +20x + 100

What is an Equation ?

An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .

An equation is given in the question

[tex]\rm \sqrt{x^2 + 81} = x +10[/tex]

[tex]\rm {x^2 + 9^2} = (x +10)^2[/tex]

[tex]\rm {x^2 + 81} = x^2 +20x + 100[/tex]

Therefore the given equation is equivalent to Option D .

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Solve for X

1.1x + 1.4x = 350

Answers

Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

[tex]\sf\large\green{\underbrace{\red{Question*}}}:[/tex]
[tex] \mathbb\blue{SOLVE} [/tex]
[tex] \pink{1. \: \: \: \: \: \: (3 - x)(x + 2) = 0}[/tex]
[tex] \pink{2. \: \: \: \: \: {(q + 2)}^{2} - 40}[/tex]

Answers

[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Solve:}}}}}}[/tex]

[tex] \sf \red{1. \: (3x - x) (x + 2) = 0}[/tex]

[tex] \sf \red{2. \: (q + 2)^{2} - 40}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

2.soln:

(q + 2)² - 40

=> (q)² + 2.q.2 + (2)² - 40

=> q² + 4q + 4 - 40

=>q² + 4q - 36

Here, a = 1, b = 4 and c = - 36

By, using Quadratic formula

See the attachment

A student claims that tan^2 0+1 = sec^2 0 can be converted to sin^2 0 + cos^2 0 = 1. which sequence of steps supports this claim?

Answers

Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

Here,

tan²θ + 1 = sec²θ

sin²θ/cos²θ + 1 = 1/cos²θ

By taking LCM, we get

(sin²θ + cos²θ)/cos²θ = 1/cos²θ

(sin²θ + cos²θ) = cos²θ/cos²θ

(sin²θ + cos²θ) = 1

Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

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The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Answers

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

Answer:

about 11.7 units (Pls mark me as brainy)

Step-by-step explanation:

Find the width:

length⋅width=  area

4w=44    Plug in known values.

4w/4=44/4    Divide both sides by 4

w=11

Find the diagonal:

(4)^2+(11)^2=  c^2   Use the Pythagorean Theorem.

16+121=  c^2   Simplify.

137=c^2   Simplify.

±√137​= √c^2   Square root both sides.

11.704699...= c   Simplify. Ignore the negative root, as the length must be positive.

11.7≈ c     Round to the nearest tenth.

The length of the diagonal is 11.7 units.

please help! please do not copy and paste i have seen the other ones

Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section.

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.

Answers

Answer:

Given function:

[tex]f(x)=2(3)^x[/tex]

Part A

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

[tex]\begin{aligned}\textsf{Average rate of change - Section A} & =\dfrac{f(1)-f(0)}{1-0}\\\\& =\dfrac{2(3)^1-2(3)^0}{1-0}\\\\& =\dfrac{6-2}{1}\\\\& =4 \end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Average rate of change - Section B} & =\dfrac{f(3)-f(2)}{3-2}\\\\& =\dfrac{2(3)^3-2(3)^2}{3-2}\\\\& =\dfrac{54-18}{1}\\\\& =36 \end{aligned}[/tex]

Part B

[tex]\dfrac{\textsf{Average rate of change of Section B}}{\textsf{Average rate of change of Section A}}=\dfrac{36}{4}=9[/tex]

Therefore, the average rate of change of Section B is 9 times greater than Section A.

The function is an exponential function (with 3 as the growth factor) so the rate of change increases over time.

What is the measure of angle ACB
What is the measure of the arc from A to B not passing through C?

Answers

Answer:

Angle ACB: 28
Arc AB: 56

Explanation:
- To find AB, the angle of BOA is a central angle. And its according arc is AB. The angle is always the same as the arc as long if its a central angle.

- Angle ACB is an inscribed angle. Its according arc is AB. Whenever its an inscribed angle, its half of its arc.
56 / 2 = 28

The product of a number and 2 is 1. Find eight times the number.

Answers

Answer:

I would think that it would be 8

Step-by-step explanation:

1-2= (-1)= -1+2=1

I think it's 8. 8 times the number of 1 is well...8.

Step-by-step explanation:

x = the number

x * 2 = 1  

soooo   x = 1/2

then   8 * 1/2  = 4

if 3 + root8 by 3-root8 + 3-root8 by 3+root8 = a+broot2 find a and b

Answers

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

What is an equation?

An equation is an expression that shows the relationship between two or more variables or numbers.

[tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8 }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}[/tex]

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

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add or subtract the given percent from

Answers

71% subtracted from 100% is 29%

Complete question

Add or subtract the given percent from 100%.

71%

How to solve the expression?

The percentage (p) is given as:

p = 71%

When subtracted from 100%, we have:

100% - p

Substitute p = 71%

100% - 71%

71 subtracted from 100 is 29.

So, we have:

100% - 71% = 29%

Hence, 71% subtracted from 100% is 29%

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three numbers are in the ratio 1:3:5 and their sum is 270. find the largest number.

Answers

Answer:

150

Step-by-step explanation:

Let :

⇒ The numbers can be denoted as x, 3x, and 5x

=============================================================

Solving :

⇒ It mentions their sum is 270

⇒ x + 3x + 5x = 270

⇒ 9x = 270

⇒ x = 30

=============================================================

Largest number :

⇒ 5x

⇒ 5(30)

150

Answer :

Largest number is 150.

Step by step explaination :

Here we have been given with the ratio of three numbers that is 1 : 3 : 5. So let us assume a common factor for them , we are assuming it as y.

Therefore,

First number = 1 → 1 × y = 1y Second number = 3 → 3 × y = 3yThird number = 5 → 5 × y = 5y

Sum of them is 270 :

>> 1y + 3y + 5y = 270

>> 4y + 5y = 270

>> 9y = 270

>> y = 270 / 9

>> y = 90 / 3

>> y = 30

Henceforth, value of y is 30.

Finding out first number :-

>> First number = 1y

>> First number = 1 × 30

>> First number = 30

★ Finding out second number :-

>> Second number = 3y

>> Second number = 3 × 30

>> Second number = 90

★ Finding out third number :-

>> Third number = 5y

>> Third number = 5 × 30

>> Third number = 150

Jordan ran 7/8 mile on Monday and 5/6 mile on Tuesday.

How much farther did Jordan run on Monday than on Tuesday?

Enter your answer as a fraction in simplest form

Answers

Answer:

[tex] \frac{1}{24} miles \\ [/tex]

Step-by-step explanation:

[tex] \frac{7}{8} - \frac{5}{6} = \frac{1}{24} [/tex]

Simplify this expression.
(2-5√6)-3√2
6√2-15√6
6√2-15√/12
6√2-8√6
6√2-30√

Answers

Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

Step-by-step explanation:

= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]

= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

This expression is simplified already

Which could be the missing data item for the given set of data if the median of the complete data set is 50?

21 23 60 60 50 54 54 59 26 15 43 15 A. 18
B. 24
C. 45
D. 57

Answers

Answer:

It's A

Step-by-step explanation:

Thx to the guy in the comments above

Answer:

It's A

Step-by-step explanation:

It's right

Factor 60-36w60−36w60, minus, 36, w to identify the equivalent expressions.

Answers

Answer: 60( 1 - 72)

Step-by-step explanation: i think it might be right so heres a proof

3D TRIGONOMETRY PLS HELP ME HELP​

Answers

tan30= CF/50
CF= 28.8675…cm
CA^2= 50^2 +70^2
CA= 86.02325…cm
Angle CAF= tan-1(28.8675/86.02325)
= 18.6 (3 s.f.)

help me pleaseeeeeeeee

Answers

[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]

i rlly need helpp due in 2 dayssss

Answers

Answer:

84 R4

Step-by-step explanation:

Answer:

84 R4

Step-by-step explanation:

[tex]9\sqrt{760}[/tex]

multiply 9 by each answer choice then pick the one that makes sense

9×84= 756    9×83=747   9×85=765

756+4= 750 747+3= 750  

What is the time in 24 hour clock for 03:50 pm?
a.0350 hrs
b.1350 hrs
c.1550 hrs
d.1650 hrs​

Answers

Answer:

Option C

Step-by-step explanation:

Any evening time on a 24 hour clock will be that hour add 12 :

3:50 pm =

3:50 + 12:00 = 15:50

Option C must be the answer

Hope this helped and brainliest please

Answer:

c.1550 hrs

Step-by-step explanation:

It Is military time to it stays going for 12:00 to 13:00 14:00 15:00 and so on

Hope This Helped

Please someone help me with this

Answers

Tan (37)= x/1000
0.75355=x/1000
X=753.55

Answer is C

Answer:
Option c

Step-by-step explanation:

Since tangent = op/adj, in this case the tan37 would be x/1000.

Then, set it up as an algebra problem.

tan37 = x/1000

Multiply both sides by 1000, so 1000tan37=x

that simplifies to x = 753.6

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