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Mathematics 21 Online
OpenStudy (anonymous):

I need help to solve a problem...

OpenStudy (anonymous):

Post it in here and someone will help :)

OpenStudy (akshay_budhkar):

yes? Post it.. we will help you..

OpenStudy (anonymous):

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

OpenStudy (anonymous):

step by step to get the answer

OpenStudy (anonymous):

Alright first step you can re-write that as \[\left(\begin{matrix}y^{4} \\ x^{-3}\end{matrix}\right)^3\] By knowing that a negative power simply means 1 over the brackets, which allows us to invert them

OpenStudy (anonymous):

so i just make the -3 a positive that is out side of the paraenthesis?

OpenStudy (anonymous):

the answer i came up with is \[\left(\begin{matrix}y ^{28} \\ x ^{-21}\end{matrix}\right)\]

OpenStudy (anonymous):

is this a matrix? or is it \[(\frac{x^{-3}}{y^4})^{-3}\]

OpenStudy (anonymous):

if it is the second one, multiply the exponents to get \[\frac{x^9}{y^{-12}}\]

OpenStudy (anonymous):

then get rid of the negative exponent by writing \[x^9y^{12}\]

OpenStudy (anonymous):

so it doesn't go into a fractional form b/c it dont have a - right?

OpenStudy (anonymous):

1/y^-12 is same as y^12...

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