Evaluate -(12x)^-2

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

Step 1

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

$- \frac{1}{{(12 x)}^{2}}$

Step 2

Simplify the denominator.

Apply the product rule to $12 x$ .

$- \frac{1}{12^{2} x^{2}}$

Raise $12$ to the power of $2$ .

$- \frac{1}{144 x^{2}}$