Question

(6x^2y^5/30x^3y^3)^-2

Answer 1

\[(\frac{ 6x^2y^5 }{ 30x^3y^3 })^{-2}\]

Answer 2

It is easier if you break it up
\[(\frac{ 6 }{ 30 })(\frac{ x^2 }{ x^3 })(\frac{ y^5 }{ y^3 })^-2\]

Answer 3

\[\frac{ 6 }{ 30 }= \frac{1}{5}\]
\[\frac{x^2}{x^3}=\frac{1}{x}\]
\[\frac{y^5}{y^2}=y^3\]

Answer 4

You get
\[(\frac{y^2}{5x})^-2\]

Answer 5

Sorry that's y^3 not 2.

Answer 6

\[\left(\frac{\left(6 x^2 y^5\right)}{\left(30 x^3 y^3\right)}\right){}^{\wedge}-2 \]\[\left(\frac{y^2}{5 x}\right){}^{\wedge}-2 \]\[\frac{25 x^2}{y^4} \]

Answer 7

Yep.

Answer 8

Thanks again
I understand. I am a online student and I need someone to break down each problem for me.