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This solely depends on what you meant by that notation.

If you meant \(\dfrac{8^1}3\) then it's 8/3.

If you meant \(8^{1/3}\) then it's 2.

Or maybe you can use a calculator, so you don't need to wait for people to reply.

so it is basically \(\sqrt[3]{8}\) and that equals 2 sinc 2*2*2=8 

Hi Dm,

8^1/3   is best expressed as 8^(1/3)               

8^(1/3) =    \(\displaystyle 8^{\frac{1}{3}}=8^{1/3} = \sqrt[3]{8}=2\)

You need the brackets because otherwise 8^1/3 really means   \((8^1) /3  = 8/3 = 2\frac{2}{3} \)