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16-11-2018
Mathematics

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what is the simplified fraction for 5^-3 * 2^2 5^6/ 2^3 5^2

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16-11-2018

[tex]\displaystyle\bf\\\frac{5^{-3}\times2^2\times5^6}{2^3\times5^2}=\\\\=\frac{2^2\times5^{6-3}}{2^3\times5^2}=\\\\=\frac{2^2\times5^3}{2^3\times5^2}=\\\\=2^{2-3}\times5^{3-2}=\\ \\=2^{-1}\times5^{1}= \frac{5^1}{2^1}=\boxed{\bf\frac{5}{2}}[/tex]

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