## anonymous 5 years ago how to solve another manipulating powers question...

1. anonymous

$x ^{12}y ^{12}z ^{-20}/a ^{-2}b ^{-4}c ^{8}\times a ^{5}b ^{5}c ^{-20}/x ^{30}y ^{5}z ^{45}$

2. TuringTest

$\frac{x^{12}y^{12}z^{-20}}{a^{-2}b^{-4}c^8}\times\frac{a^5b^5c^{-20}}{x^{30}y^5z^{45}}=\frac{x^{12}y^{12}z^{-20}}{x^{30}y^5z^{45}}\times\frac{a^5b^5c^{-20}}{a^{-2}b^{-4}c^8}$now you can apply the same rule as before :)

3. anonymous

oh.

4. TuringTest

in case you want to leave this in a form with all positive exponents you will also need to use the formula$x^{-a}=\frac{1}{x^a}$but that's only necessary if the problem asks for that....