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\left(\frac{1}{7}\right)^{2}\left(\sqrt{7}\right)^{2}
Expand \left(\frac{1}{7}\sqrt{7}\right)^{2}.
\frac{1}{49}\left(\sqrt{7}\right)^{2}
Calculate \frac{1}{7} to the power of 2 and get \frac{1}{49}.
\frac{1}{49}\times 7
The square of \sqrt{7} is 7.
\frac{1}{7}
Multiply \frac{1}{49} and 7 to get \frac{1}{7}.