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Mathematics 9 Online
OpenStudy (anonymous):

plz help!

OpenStudy (sanjanap):

What's up!

OpenStudy (hayleymeyer):

alrighttty <3

OpenStudy (anonymous):

\[\left(\begin{matrix}5x ^{-2}y ^{5} \\ 4x ^{6}y ^{3}\end{matrix}\right)\]

OpenStudy (anonymous):

to the \[^{-2}\]

OpenStudy (anonymous):

Division? Matrix?

OpenStudy (anonymous):

division

OpenStudy (anonymous):

So \[\huge( \large \frac{5x^{-2}y^{5}}{4x^{6}y^{3}} \huge )^{\large -2}~\large ?\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Well first let's apply the exponent outside of the parentheses. We're gonna use two properties to do this. The first is \[\large (\frac{x}{y})^{2}=(\frac{x^{2}}{y^{2}})\] and the second is \[\large (a^{x})^{x}=(a)^{x \times x}\] Do you know how these will be applied?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

It means that the -2 outside the parentheses will be multiplied by the exponents of both the numerator and denominators.

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

Do you think you will be able to take it from there?

OpenStudy (anonymous):

yes

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