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\frac{1}{\sqrt{7}\times 10}
Express \frac{\frac{1}{\sqrt{7}}}{10} as a single fraction.
\frac{\sqrt{7}}{\left(\sqrt{7}\right)^{2}\times 10}
Rationalize the denominator of \frac{1}{\sqrt{7}\times 10} by multiplying numerator and denominator by \sqrt{7}.
\frac{\sqrt{7}}{7\times 10}
The square of \sqrt{7} is 7.
\frac{\sqrt{7}}{70}
Multiply 7 and 10 to get 70.