Simplify (-6*x)^-5

${(- 6 \cdot x)}^{- 5}$

Step 1

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

$\frac{1}{{(- 6 x)}^{5}}$

Step 2

Simplify the denominator.

Apply the product rule to $- 6 x$ .

$\frac{1}{{(- 6)}^{5} x^{5}}$

Raise $- 6$ to the power of $5$ .

$\frac{1}{- 7776 x^{5}}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{7776 x^{5}}$