Solve for m if ($\frac{1}{27})^m$ x (81)$^{-1}$ = 243

Solve for m if ($\frac{1}{27})^m$ x (81)$^{-1}$ = 243

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$(\frac{1}{27})^m$ x $(81^{-1})$ = 243

27^-m x 81^-1 = 243

Express both sides to the same base.

3^-3m x 3^-4 = 3⁵;

3^-3m-4 = 3⁵

Equate the powers

-3m - 4 = 5;

-3m = 90

m = -3

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johnmulu answered the question on June 12, 2017 at 12:14

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