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Simplify

 

5^3 divided by 10^-2

SmartMathMan  Nov 11, 2018
edited by Guest  Nov 11, 2018
 #1
avatar+3129 
+1

\(\dfrac{5^3}{10^{-2}} = \\ \dfrac{5^3}{(2\cdot 5)^{-2}} = \\ \dfrac{5^3}{2^{-2}5^{-2}} = \\ \dfrac{5^{3-(-2)}}{2^{-2}}=\\ \dfrac{5^5}{2^{-2}} =\\ 5^5 2^2 = \\ 12500\)

Rom  Nov 11, 2018
 #2
avatar+14406 
+1

Another method:

 

5^3 / 10^-2 = 5^3  *  10^2 = 125 x 100 = 12500

ElectricPavlov  Nov 12, 2018

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