Algebra Examples

$x^{12} \cdot x^{n} = x^{12}$

Step 1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{12 + n} = x^{12}$

Step 2

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

$12 + n = 12$

Step 3

Move all terms not containing $n$ to the right side of the equation.

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Step 3.1

Subtract $12$ from both sides of the equation.

$n = 12 - 12$

Step 3.2

Subtract $12$ from $12$ .

$n = 0$