Problem 95 of 7
Simplify variable radical sqrt(m^8n^3).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
split variable powers into root and remainder.
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Variable assumptions must be stated when even roots require absolute value caveats.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Divide each variable exponent by the root index.
2. Move complete groups outside the radical.
3. Leave the remainder exponent under the radical and note even-root sign assumptions if needed.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Pulling out variables without accounting for root index.