# Negative Exponents: simplify 6x to neg. 2nd power y to 3rd.

##### New member
Can someone help me figure out this problem?

(6x to the negative second power y to the third power)raised to the negative 3rd

#### o_O

##### Full Member
Re: Negative Exponents

$$\displaystyle \left(6x^{-2}y^{3}\right)^{-3}$$

I'm guessing you need to simplify this. Two things that will help:

$$\displaystyle \left(a^{m}\right)^{n} = a^{m \cdot n}$$

$$\displaystyle a^{-n} = \frac{1}{a^{n}}$$

##### New member
Re: Negative Exponents

That is the way I worked it and came up with

x[sup:2vfjxr07]6[/sup:2vfjxr07]_____
216y[sup:2vfjxr07]9[/sup:2vfjxr07]

Does that look right?

#### o_O

##### Full Member
Re: Negative Exponents

Looks good to me!