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How do I simplify this?

I got 64 to the power 30/6 but where do I go from here?
ggggg.PNG
so why is is it 32 to the power 5 basically....
Thanks
Reply 1
What an earth is that.....:colonhash:
Original post by wfisom
I got 64 to the power 30/6 but where do I go from here?
ggggg.PNG
so why is is it 32 to the power 5 basically....
Thanks


6th root (64)^5 = (64^5)^(1/6) = (64)^(5/6) = 32
6th root (a^6)^5 = 6th root (a^30) = (a^30)^(1/6) = a^5
So it is 32*a^(5)

(Because the bracket under the root sign only has multiplication in it, you can split the root to 64 and a)
A square root will be a^(1/2)
Cube root will be a^(1/3)
So nth root will be a^(1/n)
(a^n)^m = a^nm
(edited 6 years ago)
Note that

(x)ba\sqrt[a]{(x)^b} = (x)ba(x)^\frac{b}{a}

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