Question

Simplify: (4xy^-2)/(12x^-1/3y^-5)

Answer 1

\[\frac{4xy^{-2}}{\frac{12x^{-1}}{3y^{-5}}}\]
is that right?

Answer 2

yep!

Answer 3

Sorry I don't know how to make it look like a real equation

Answer 4

\[4xy^{-2} \div \frac{12x^{-1}}{3y^{-5}}=4xy^{-2} \times \frac{3y^{-5}}{12x^{-1}}\]
\[\frac{4xy \cdot 3y^{-5}}{12x^{-1}}=\frac{12xy^{-5+1}}{12x^{-1}}=\frac{xy^{-4}}{x^{-1}}\]
\[=\frac{x}{x^{-1}} \cdot \frac{y^{-4}}{1}\]
\[=x \cdot x \frac{1}{y^4}=x^2 \frac{1}{y^4}=\frac{x^2}{y^4}\]

Answer 5

Wonderful thank you so much

Answer 6

np
i tried to put in alot of steps so it was easy to follow

Answer 7

Thank you!! :)

Answer 8

4xy^-2/12x^-1/3 y^-5