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10^5/(3^2 * 10^-2)^3 Leave in index form

 May 2, 2015

Best Answer 

 #1
avatar+118723 
+5

$${\frac{{{\mathtt{10}}}^{{\mathtt{5}}}}{{\left({{\mathtt{3}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{-{\mathtt{2}}}\right)}^{{\mathtt{3}}}}}$$

 

$$\\=\frac{10^5}{3^6\times 10^-6}\\\\
=\frac{10^{5--6}}{3^6}\\\\
=\frac{10^{11}}{3^6}$$

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 May 2, 2015
 #1
avatar+118723 
+5
Best Answer

$${\frac{{{\mathtt{10}}}^{{\mathtt{5}}}}{{\left({{\mathtt{3}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{-{\mathtt{2}}}\right)}^{{\mathtt{3}}}}}$$

 

$$\\=\frac{10^5}{3^6\times 10^-6}\\\\
=\frac{10^{5--6}}{3^6}\\\\
=\frac{10^{11}}{3^6}$$

Melody May 2, 2015

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