Question

Simplify (4ab^2)^3

Any help is appreciated

Answer 1

`64a^(3) b^(6)`

Explanation:

1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:

`(4ab^(2) )^3`

`4^(3)` ·
`a^(3)` ·
`b^(6)`

2) The variables are fine - you can't simplify them further. All you need to do now is multiply the
`4^(3)` out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"

`4` ·
`4` ·
`4` ·
`a^(3)` ·
`b^(6)`

`16` ·
`4` ·
`a^(3)` ·
`b^(6)`

`64a^(3) b^(6)`

Therefore,
`64a^(3) b^(6)` is the answer.