The length of each side of a square wooden box, in inches, is represented by the expression 5z4. The volume of the box, in cubic inches, is (5z4)3.

Which simplified expression represents the volume of the box?

125z64

125z12

125z7

15z12

Question

The length of each side of a square wooden box, in inches, is represented by the expression 5z4. The volume of the box, in cubic inches, is (5z4)3.

Which simplified expression represents the volume of the box?

125z64

125z12

125z7

15z12

anonymous · Answer

$$(5z^4)^3=(5^3)(z^4)^3=125z^{4*3}=125z^{12}$$