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\frac{\sqrt[3]{15625}}{\sqrt[2]{5^{8}}}
Calculate 5 to the power of 6 and get 15625.
\frac{25}{\sqrt[2]{5^{8}}}
Calculate \sqrt[3]{15625} and get 25.
\frac{25}{\sqrt[2]{390625}}
Calculate 5 to the power of 8 and get 390625.
\frac{25}{625}
Calculate \sqrt[2]{390625} and get 625.
\frac{1}{25}
Reduce the fraction \frac{25}{625} to lowest terms by extracting and canceling out 25.