Question

How do you write `7^(1/2) * 3^(5/3 )` in radical form?

Answer 1

`= sqrt 7 xxroot3 3^5`

Explanation:

Note the law of indices which states: `x^(p/q) = (rootq(x))^p`

`7^(1/2) *3^(5/3)`

The denominator of the index shows the root.
The numerator shows the power.

`= sqrt 7 xxroot3 3^5`

Because different roots are being found, this cannot be combined into a single radical.