How do you simplify $(16a^4)^(3/2)$ ?

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Answer 1 · 2016-02-29T13:32:44

$64a^6$

To simplify $(16a^4)^(3/2)$ , remember the identity $(a^m)^n=a^(mn)$ and $(ab)^m=a^mxxb^m$

Hence, $(16a^4)^(3/2)=16^(3/2)xxa^(4xx(3/2))$ , but $16=2^4$

Hence this is $(2^4)^(3/2)xxa^6$

or $2^((4xx3/2))xx(a^6)$

or $2^6*a^6=64a^6$

How do you simplify (16a^4)^(3/2)(16a^4)^(3/2)?