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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-example-1

1 Answer

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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}
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