# Math Help - Powers

1. ## Powers

Does $8^{\frac{1}{2}}=\sqrt{8}$ or $\frac{1}{8}$?

Same with a negative fraction.

Any tips?

2. anything to the power of 1/2 is the square root of that base.

8^1/2 = square root of 8

anyting to the power of - means 1 over to that power

8^-1/2 = 1/ 8^2 = 1/64

3. Originally Posted by Joel
anything to the power of 1/2 is the square root of that base.

8^1/2 = square root of 8

anyting to the power of - means 1 over to that power

8^-1/2 = 1/ 8^2 = 1/64
Thanks Great explanation

4. Wait, lets say I get 8^-2/3

would it be

(2/8)^3???

5. Originally Posted by Mukilab
Wait, lets say I get 8^-2/3

would it be

(2/8)^3???
no as Joel said "anyting to the power of - means 1 over to that power"

8^-2/3 = 1/ 8^2/3