Question

Can somebody help me solve this please? Will give medal!

http://gyazo.com/93676f3dcb7159a5794c3a16014754f6

Answer 1

\[\huge [x^ {\frac{5}{8}}]^\frac{2}{3}=x^ {\frac{5 \times 2}{8\times 3}}=x^ {\frac{5}{12}}\]

Answer 2

Thanks everyone, unfortunately dpasingh was first :S. Thanks anyways guys.

Answer 3

when you have a power raised to a power you simply multiply the exponents together

i.e. \[a{^{m ^{n}}}=a ^{mXn}\]

e.g. \[2^{3^{2}}=2^{3X2}= 2^{6}\]

I see someone has given oyu the answer - but DO try to understand it for yourself

Answer 4

Oh wow, Thanks Nood for fully writing it out.

Answer 5

just for info - while you're on the subject

if you have a number raised to a power times the some number to another power, then you ADD the exponents

\[a ^{m} \times a ^{n}= a ^{m+n}\]