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2014-05-15T13:11:49-03:00
 \sqrt[5]{10^3} = \sqrt[x]{10^9}  \\  \\ 10^{ \frac{3}{5}}=10^{ \frac{9}{x} } \\  \\ {\not10}^{ \frac{3}{5}}=\not10^{ \frac{9}{x} } \\  \\  \frac{3}{5} = \frac{9}{x}  \\  \\ 9x^{-1}= \frac{3}{5}  \\  \\ x^-^1=  \frac{ \frac{3}{5}}{9} \\  \\ x^-^1= \frac{1}{15}  \\  \\ x=  \frac{ \frac{1}{1} }{15}  \\  \\ x=15
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 \sqrt[8]{2^{20}} = \sqrt{2^x}  \\  \\ 2^{ \frac{20}{8} }=2^{ 
\frac{x}{2}}  \\  \\  \not2^{ \frac{20}{8} }=\not2^{ \frac{x}{2}}  \\  
\\  \frac{20}{8} = \frac{x}{2} \\  \\  \frac{5}{2} = \frac{1}{2} *x  \\ 
 \\ \frac{\frac{1}{2} *x}{\frac{1}{2}}= \frac{\frac{5}{2}}{ \frac{1}{2}}
   \\  \\  \frac{5}{2} * \frac{2}{1} = \frac{10}{2} 
\>\>\>\>\>=5

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