Question

Which equation finds the volume of a cube with a side length of 6n^6 units?

a. (2n^6)^3 = 8n^16 cubic units
b. (2n^6)^3 = 2n^18 cubic units
c. 2(n^6)^3 = 2n^18 cubic units
d. 2(n^6)^3 = 6n^18 cubic units

Answer 1

I hope this helps you

Answer 2

Option A is correct that is
`(2n^6)^3=8n^(18)` cubic units

Explanation:

We are given with length of the side of the cube =
`2n^6\:units`

We need to find volume of the cube.

We know that Volume of cube = ( side )³

=
`(2n^6)^3`

=
`2^3(n^6)^3`

we use the law of exponent,
`(x^a)^b=x^(ab)`

=
`8n^(6*3)`

=
`8n^(18)` cubic units

Therefore, Option A is correct that is
`(2n^6)^3=8n^(18)` cubic units