Answer
$\frac{{x^{3}}\sqrt x}{7}$
Work Step by Step
$\sqrt \frac{x^{7}}{49}=\frac{\sqrt {x^{7}}}{\sqrt {49}}=\frac{\sqrt {x^{6+1}}}{\sqrt {7^{2}}}=\frac{\sqrt {x^{6}\times x}}{7}=\frac{\sqrt {x^{6}}\times\sqrt x}{7}=\frac{{x^{3}}\sqrt x}{7}$
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