Simplifying

SIMPLIFYING \sqrt[k]{ a^{k}}

For any real number a:

a) \sqrt[k]{ a^{k}} =  \left | a \right | when k is an even natural number. We use absolute

value when k is even unless a is nonnegative.

b) \sqrt[k]{ a^{k}} = a when k is an odd natural number greater than 1. We do

not use absolute value when k is odd.

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