1. ## Stumped from exponent

I have an exponent that needs to be simplified like this:

(6x^(-8)y)^(-2) multiplied by (3x3y^(-3))^4

Would it end up anything like this:

(6^(-2)x^(16)y(-2)) multiplied by (3^(4)x^(4)3^(4)y^(-12)

Thats what I got so far.

2. $6^{-2}x^{16}y^{-2} \cdot 3^4x^4 \cdot 3^4y^{-12}$ is correct so far. Now you can combine like terms.

3. In the end I got:

x^(20)3^(8) DIVIDED BY 36y^(14)

Look alright?

Thanks a million by the way!

4. Yes but you could still simplfy a little more.

$\frac{729x^{20}}{4y^{14}}$