# Powers and parantheses

1. Jun 9, 2013

### datafiend

1. The problem statement, all variables and given/known data
(27-3y6)1/3

3. The attempt at a solution
I THINK THIS IS HOW YOU SHOULD DO THIS:
(1/273Y6)1/3

My feeling is the (1/273) should still be evaluated. Yes?

Last edited by a moderator: Jun 9, 2013
2. Jun 9, 2013

### Von Neumann

Remember that $(a^{x})^{y} = a^{xy}$ and $a^{-x}=\frac{1}{a^x}$

3. Jun 9, 2013

### lurflurf

Distribute the exponent

$$(x^a \! y^b)^c=x^{a c} \! y^{b c} \\ (5^8 \! s^4)^{(1/4)}=5^{8 (1/4)} \! s^{4 (1/4)}=5^2 \! s$$

4. Jun 9, 2013

solution

ok.
I get y2/27

5. Jun 9, 2013

You got it.