## Algebra 1: Common Core (15th Edition)

$(x^{\frac{6}{7}})^{7} = x^{6}$
When we raise a power to a power, we multiply the powers together and keep the base. If the bases of two exponential terms are the same, then the exponents are equal to one another. In this exercise, we can set up an equation to set the exponents equal to one another to solve for $x$: $7x = 6$ Divide each side by $7$ to solve: $x = \frac{6}{7}$ Let's rewrite the equation: $(x^{\frac{6}{7}})^{7} = x^{6}$