What is the correct radical form of this expression? (32a^10b^5/2)^2/5

What is the correct radical form of this expression? (32a 10b 5/2) 2/5 class=

Verified Answer :

The answer is choice A and here's why

The 2/5 outer most exponent means that we can break it down into 2*(1/5). The 2 is going to apply as an exponent for the whole parenthesis group. The 1/5 indicates we have a 5th root (similar to a square root or cube root,but instead of 2 or 3, it's 5)

In essence, I'm saying that \(\LARGE x^{m/n} = \sqrt[n]{x^m}\)