Question

How to do 8^(-2/3)

Answer 1

Hint: \[x^{-n} = \frac{ 1 }{ x^n }\]

Answer 2

Would that make it 1/8^2/3

Answer 3

Yes, now simplify it, \[\frac{ 1 }{ (8^2)^{1/3} }\]

Answer 4

Note \[x^{1/3} = \sqrt[3]{x}\]

Answer 5

4?

Answer 6

Exactly!

Answer 7

Okay, that helped a lot. Thanks!

Answer 8

But wait, we're not done, it's all over 1

Answer 9

so we have \[\frac{ 1 }{ 4 }\]

Answer 10

under*

Answer 11

That's what i was thinking, but in my book it has the final answer as just 4

Answer 12

It would be 4 if it was 8^(2/3) not 8^(-2/3)

Answer 13

My mistake, the question asked 2/3 not negative.

Answer 14

Sorry, but either way this was helpful!

Answer 15

Np :)