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Mathematics 21 Online
OpenStudy (anonymous):

need help with exponents

OpenStudy (anonymous):

what is it

OpenStudy (anonymous):

\[(\frac{ 1 }{ r })^{3}\times (\frac{ 1 }{ r })^{2}\]

OpenStudy (anonymous):

The easiest way to do this, I think, would be to multiply them together that many times. Example x^3 == x*x*x

OpenStudy (anonymous):

which would eventually yield (1/r^3)*(1/r^2), correct?

OpenStudy (anonymous):

i just don't understand how we multiply

OpenStudy (anonymous):

\[\left(\begin{matrix}1 \\ r\end{matrix}\right)*\left(\begin{matrix}1 \\ r\end{matrix}\right)*\left(\begin{matrix}1 \\ r\end{matrix}\right)\] all you have to do from here is multiply all the numerators together and all the denominators together. In this case, 1*1*1 is still 1 while r*r*r is r^3

OpenStudy (anonymous):

\[\frac{ 1 }{ r ^{3} } \times \frac{ 1 }{ r ^{2} }\]

OpenStudy (anonymous):

i don't know how to do this equation

OpenStudy (anonymous):

it's the same as in the others - multiply the numerators together and the denominators together. When multiplying exponents with the same base together, you simply add the exponent. an example would be x^5*x^2=x^7

OpenStudy (anonymous):

\[\frac{ 1 }{ r ^{5} }\]?

OpenStudy (anonymous):

correct

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