Please help, I I beg you please

Answer:

The volume of the cube is [tex]\mathit{\frac{27}{z^3x^{9}}}[/tex] cu in.

Step-by-step explanation:

The Volume of a Cube

Let's have a cube of side length a. The volume of the cube is:

[tex]V=a^3[/tex]

The cube of the image has a side length of

[tex]\displaystyle a=\frac{3x^{-3}}{z}\ inches[/tex]

Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:

[tex]\displaystyle a=\frac{3}{zx^{3}}\ inches[/tex]

Now find the volume:

[tex]\displaystyle V=\left(\frac{3}{zx^{3}}\ inches\right)^3[/tex]

Applying the exponents:

[tex]\displaystyle V=\frac{3^3}{z^3x^{9}}\ inches^3[/tex]

[tex]\displaystyle V=\frac{27}{z^3x^{9}}\ inches^3[/tex]

The volume of the cube is [tex]\mathbf{\frac{27}{z^3x^{9}}}[/tex] cu in.

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Right
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