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How do you simplify #5x^(2/3)#?

Answer 1

Avery Alexander

#color(green)(5* root(3)(x^2)#

This cannot really be simplified further, but it can be written in a form which is easier to understand.

A property of exponents says that : #color(blue)((a)^(m/n) = (a^m)^(1/n)#

Hence #5x^(2/3)# can be written as #5*(x^2)^(1/3)#

Also #color(blue)(a^(1/n) = root(n)(a)#

Hence #5*(x^2)^(1/3)# = #color(green)(5* root(3)(x^2)#

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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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