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Answer»

Answer:

\boxed{\text{Answer: x = -2}}

EXPLANATION:

\boxed{\text{Given: } \frac{7^{10}}{7^8} = \frac{1}{7}^x} \\\\\\\text{According to division rule and reciprocal rule of powers:}\\\\7^{10-8} = 7^{-x}\\\\7^2 = 7^{-x}\\\\\text{Now, bases are equal, hence, equating powers:}\\\\-x = 2\\\\\boxed{\text{Answer: x = -2}}

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