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Mathematics 14 Online
OpenStudy (anonymous):

Need help please show me the steps so i know how to do this. Thanks. -4(x^-3y^-1)^-2

OpenStudy (king):

\[-4(x ^{-3y ^{-1}})^{-2}\] ???

OpenStudy (anonymous):

just put the y^-1 down like the x is

OpenStudy (king):

what?

OpenStudy (akshay_budhkar):

\[-4(x^{-3}y^{-1})^{-2}\]

OpenStudy (akshay_budhkar):

?

OpenStudy (anonymous):

yes akshay

OpenStudy (akshay_budhkar):

ok so we go on solving using the basic equation \[x^{-a}={1 \over x^a}\]

OpenStudy (king):

-4 x^6 y^2?

OpenStudy (akshay_budhkar):

so we have \[x^{-3}={ 1 \over x^3} , y^{-1}={1 \over y^1}\]

OpenStudy (akshay_budhkar):

similarly we have\[(x^{-3}y^{-1})^{-2}={1 \over(x^3y)^2}\]

OpenStudy (akshay_budhkar):

so your answer is \[-4 x^6y^2\]

OpenStudy (akshay_budhkar):

sorry for late replies, net problem

OpenStudy (akshay_budhkar):

is it clear?

OpenStudy (anonymous):

yes thank you i get it. thanks for all the steps

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