Simplify $\frac{25 ^\frac{2}{3} \div 25 ^\frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}}$

$\frac{1}{5}$

$\frac{1}{25}$

Correct answer is C

$\frac{25 \frac{2}{3} \div 25 \frac{1}{6}}{( \frac{1}{5})^{-\frac{7}{6}} \times ( \frac{1}{5})^{\frac{1}{6}}}$ = $\frac{25^{4 - \frac{1}{6}}}{(\frac{1}{5})^{-7 + \frac{1}{6}}}$

= $\frac{25^{\frac{1}{2}}}{(\frac{1}{5})^{-1}}$

= $\frac{(5^2)^{\frac{1}{2}}}{(5^{-1})^{-1}}$

= $\frac{5}{5}$

= 1

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