Evaluate x^2*x^-12

$x^{2} \cdot x^{- 12}$

Step 1

Multiply $x^{2}$ by $x^{- 12}$ by adding the exponents.

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

$x^{2 - 12}$

Subtract $12$ from $2$ .

$x^{- 10}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x^{10}}$