Question

What is the expression in radical form (2m^2n)^3/2

Answer 1

√8m^6n^3

Explanation:

Answer 2

sqrt[(2m^2n)^3]

Explanation:

So let's break down the exponent. The top number represents the number of times the term is repeated. The bottom number represents the root to be taken of the final product. With this in mind, let's rewrite this expression.

(2m^2n)^3/2

= [(2m^2n)^3]^1/2

Notice we have 3 of the (2m^2n) terms, but they are all under the 2nd root (aka a square root).

So now, we'll rewrite this into the radical form.

sqrt[(2m^2n)^3]

I hope this helps.

Cheers.