Evaluate (x^-2)/(x^-6*x^-6)

$\frac{x^{- 2}}{x^{- 6} \cdot x^{- 6}}$

Step 1

Multiply $x^{- 6}$ by $x^{- 6}$ by adding the exponents.

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

$\frac{x^{- 2}}{x^{- 6 - 6}}$

Subtract $6$ from $- 6$ .

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

Step 2

Move $x^{- 12}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 3

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

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

$x^{- 2 + 12}$

Add $- 2$ and $12$ .

$x^{10}$