Answer
$(x^{\frac{6}{7}})^{7}=x^{6}$
Work Step by Step
$(x^{?})^{7}=x^{6}$
To raise a power to a power, we multiply the exponents. Therefore, in order for this equation to be correct, the product of $7$ and the first exponent must equal $6$. The only way this would work is if the first exponent is $\frac{6}{7}$ because $\frac{6}{7}\times7=6$.
Therefore, the correct equation is $(x^{\frac{6}{7}})^{7}=x^{6}$
