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

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Answer 1 · 2016-12-06T02:24:25

$8a^(5/2)$

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

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

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

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

$=8a^(5/2)$

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