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How do you simplify 4 to the power of 2/3?

Answer 1

Ethan Adkins

Remember that #a^(m/n)=rootn(a^m)# and that #4^2=16=2xx8=2xx2^3#

...the remainder is simple!

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Answer 2

Kennedy Adams

To simplify (4^{2/3}), raise 4 to the power of the numerator (2) and then take the cube root of the result. (4^{2/3} = \sqrt[3]{4^2} = \sqrt[3]{16}.) So, (4^{2/3}) simplifies to (\sqrt[3]{16}).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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