# How do you evaluate #32# to the power of #2/5#? #32^(2/5)#

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There is a choice of methods.. Work smarter, not harder!

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One of the laws of indices deals with cases where there are powers and roots at the same time.

The denominator shows the root and the numerator gives the power.

Note that the power can be inside or outside the root.

I prefer to find the root first, and then raise to the power because this keeps the numbers smaller. They can usually be calculated mentally rather than needing a calculator

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Compare this with the other method of squaring first.

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While I know that

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