Pre-Algebra Examples

$3^{3 m} = 3^{2 m - 1}$

Step 1

Create equivalent expressions in the equation that all have equal bases.

$3^{3 m} = 3^{2 m - 1}$

Step 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$3 m = 2 m - 1$

Step 3

Move all terms containing $m$ to the left side of the equation.

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Step 3.1

Subtract $2 m$ from both sides of the equation.

$3 m - 2 m = - 1$

Step 3.2

Subtract $2 m$ from $3 m$ .

$m = - 1$