# HELP!!! division & power properties of exponents

• May 13th 2009, 01:10 PM
mackenzie25
HELP!!! division & power properties of exponents
how would you solve this problem?

(3x^2 y)^-3
(3^3 x^-4 y^4)^-5

sorry, I don't know how to do superscript, so the ^ are to represent the exponents.
• May 13th 2009, 01:23 PM
masters
Quote:

Originally Posted by mackenzie25
how would you solve these problems?

(3x^2 y)^-3
(3^3 x^-4 y^4)^-5

sorry, I don't know how to do superscript, so the ^ are to represent the exponents.

Hi mackenzie25,

$\frac{(3x^2y)^{-3}}{(3^3x^{-4}y^4)^{-5}}=\frac{(3^3x^{-4}y^4)^5}{(3x^2y)^3}=\frac{3^{15}x^{-20}y^{20}}{3^3 x^6 y^3}=3^{12}x^{-26}y^{17}=\frac{3^{12}y^{17}}{x^{26}}=\frac{531441 y^{17}}{x^{26}}$