Question

How do you rewrite with fractional exponents for `(root(4)(x))(3^4sqrt(x))`?

Answer 1

`root(4)(x) = x^(1/4)`

`sqrt(x) = x^(1/2)`

In general `b^m * b^n = b^(m+n)`

So `(root(4)(x))(3^4sqrt(x))`

`= x^(1/4) * 3^4 * x^(1/2)`

`=3^4x^(3/4)`