Question

How do you simplify `(16a^4)^(3/2)`?

Answer 1

`64a^6`

Explanation:

To simplify `(16a^4)^(3/2)`, remember the identity `(a^m)^n=a^(mn)` and `(ab)^m=a^mxxb^m`

Hence, `(16a^4)^(3/2)=16^(3/2)xxa^(4xx(3/2))`, but `16=2^4`

Hence this is `(2^4)^(3/2)xxa^6`

or `2^((4xx3/2))xx(a^6)`

or `2^6*a^6=64a^6`