Question

Can `sqrt(9^(16x^2))` be simplified?

Answer 1

`sqrt(9^(16x^2))=9^(8x^2)`

Explanation:

Recall the indices law:

`(a^m)^n=a^(m*n)`

`sqrt(9^(16x^2))=(9^(16x^2))^(1/2)=9^(16x^2*1/2)=9^(8x^2)`