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

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Answer 1 · 2017-02-14T07:07:28

$= sqrt 7 xxroot3 3^5$

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.

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