Simple GCSE question... How? need quick answer, have test in mornin ![resolved]

[thegreatone]

What does 32^6/5 really mean ? I have just guessed and gotten it correct, but i don't understand why...Anyone explain ?

5. Find the value of 32^6/5

You said 64 .

Well done. You have worked this out correctly.

[moeur]

I assume you know what a fifth root is?
i.e the fifth root of 32 is 2 or 2*2*2*2*2 = 32
so 32^(6/5) = the fifth root of 32 to the sixth power
since we know the fifth root of 32 = 2
32^(6/5) = 2^6 = (2^5)*2=64

[thegreatone]

I assume you know what a fifth root is?
i.e the fifth root of 32 is 2 or 2*2*2*2*2 = 32
so 32^(6/5) = the fifth root of 32 to the sixth power
since we know the fifth root of 32 = 2
32^(6/5) = 2^6 = (2^5)*2=64

Cheers moeur, i needed that so bad !

Hopefully its sunk in and i will be able to use that tomorrow

+rep