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Mathematics 15 Online
OpenStudy (anonymous):

http://imageshack.us/photo/my-images/214/photopzs.jpg Look at question 21 then tell me how to solve it

sam (.sam.):

\[(3x^{-1})^2 \div 6x^{-3}\]

sam (.sam.):

\[(3x^{-1})^2 \div 6x^{-3}\] \[(\frac{3}{x})^2 \div \frac{6}{x^3}\] \[(\frac{9}{x^2}) \times \frac{x^3}{6}\] \[\frac{3}{2}x\]

sam (.sam.):

understand?

OpenStudy (anonymous):

can u write plz in words the steps if u want to do it??

sam (.sam.):

\[(3x^{-1})^2 \div 6x^{-3}\] \[\text{Rewrite the x as, } x^{-1}=\frac{1}{x} ~~,~~6x^{-3}=6\frac{1}{x^3}\] \[(\frac{3}{x})^2 \div \frac{6}{x^3}\]

sam (.sam.):

\[(\frac{3}{x})^2 \div \frac{6}{x^3}\] \[\text{Squaring outside the brackets is the same as squaring inside the brackets}\] \[(\frac{3}{x})^2\div \frac{6}{x^3} =\frac{3^2}{x^2}\div \frac{6}{x^3}\]

OpenStudy (anonymous):

thank u

sam (.sam.):

\[\frac{3^2}{x^2}\div \frac{6}{x^3}\] Flip the sign changes the numerator and denominator \[\frac{3^2}{x^2}\times \frac{x^3}{6}\]

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