Question

Simplify the expression where possible. (4c^2)^3

Answer 1

`64c^(6)`

Explanation:

We know that
`(a*b)^(m)=a^(m) *b^(m)`

Given
`(4c^(2))^(3)`

Here a=4 and b=
`c^(2)`

Using the above property we get

`(4c^(2))^(3)` =
`4^(3)*(c^(2))^(3)`

We know that
`(a^(m))^(n)=a^(mn)`

using the above property we get

`(4c^(2))^(3)` =
`64*c^(6)`=
`64c^(6)`