Simplifying Powers and Parentheses: (27-3y6)1/3 Solution

[datafiend]

Homework Statement

(27^-3y⁶)^1/3

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?

 

[Von Neumann]

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

How does this help you?

 

[lurflurf]

Distribute the exponent

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

 

[datafiend]

solution

ok.
I get y²/27

 

[wifi]

ok.
I get y²/27

You got it.