Question

What is the correct radical form of this expression?

Answer 1

Option A. $\sqrt[5]{\left(32 a^{10} b^{\frac{5}{2}}\right)^{2}}$ is the correct radical form.

Step-by-step explanation:

Step 1:

The numerator of the exponential is kept where it is whereas when converting an exponential into a radical, the denominator becomes the root of the variable.

The numerator of the exponential is 2 while the denominator is 5.

Step 2:

So the numerator is kept where it is while the denominator, 5 becomes the root of the variable.

Out of the given options, options 2, 3 and 4 have square roots so they cannot be the answers. Option 1 has a root to the power of 5, so it is the correct radical form.

So option 1 is the right answer.