Question

how would you solve 8 raised to the -2/3 power?

Answer 1

\[8=2^{3}\]
use this...

Answer 2

the -2 means it's 1 over 8 squared.. or (1/8)^2 then take the cube root

Answer 3

In three parts:

1) 8 to the 1/3rd power (or the 3rd root of 8)
2) The answer from step (1) squared
3) 1 over the answer from step (2)

Answer 4

\[(2^{3})^{-2/3}=2^{-2/3 *3}=2^{-2}=1/4\]

Answer 5

Inik, I think I pretty much have it, but do you just cancel out both of those 3's or what?

Answer 6

yes
3*(-2/3)=-2