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Mathematics 16 Online
OpenStudy (logan13):

need help

OpenStudy (logan13):

i need the power for like tro the 2nd power

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle \frac{\left(12^{-5}\right)^2 }{12^{-4}} }\) The first rule you need: \(\large\color{black}{ \displaystyle \left(12^{A}\right)^B =12^{A~\times~B} }\)

OpenStudy (solomonzelman):

what do you get on top of the fraction, after you apply this?

OpenStudy (logan13):

SO WHAT would it be

OpenStudy (solomonzelman):

\(\large\color{black}{ \displaystyle \frac{\left(12^{-5}\right)^2 }{12^{-4}} }\) \(\large\color{black}{ \displaystyle \frac{12^{(-5)\times 2} }{12^{-4}} }\) \(\large\color{black}{ \displaystyle \frac{12^{-10} }{12^{-4}} }\) \(\large\color{black}{ \displaystyle \left(\frac{12^{10} }{12^{4}}\right)^{-1} }\) \(\large\color{black}{ \displaystyle \frac{12^{4} }{12^{10}} }\)

OpenStudy (solomonzelman):

and then \(=1/12^{10-4}=12^6\)

OpenStudy (logan13):

thanks

OpenStudy (solomonzelman):

I mean 1/12\(^6\)

OpenStudy (solomonzelman):

(or instead of 1/12\(^6\), you can write 12\(^{-6}\))

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