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How do you simplify # (4a^(5/3))^(3/2)#?

Answer 1

Savannah Anderson

#8a^(5/2)#

Remember: #(p^m)^n = p^(m+n)#

In this example: #(4a^(5/3))^(3/2) = 4^(3/2) xx (a^(5/3))^(3/2) #

#=2^(6/2) xx a^(5/3xx3/2)#

#=2^3 xx a^(5/2)#

#=8a^(5/2)#

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Answer 2

Nathan Axel

To simplify (4a^(5/3))^(3/2), raise 4 to the power of 3/2, and multiply that by a^(5/2). The simplified expression is ( 8a^{5/2} ).

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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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