Simplify (-7^4)^-3

${(- 7^{4})}^{- 3}$

Step 1

Raise $7$ to the power of $4$ .

${(- 1 \cdot 2401)}^{- 3}$

Step 2

Multiply $- 1$ by $2401$ .

${(- 2401)}^{- 3}$

Step 3

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

$\frac{1}{{(- 2401)}^{3}}$

Step 4

Raise $- 2401$ to the power of $3$ .

$\frac{1}{- 13841287201}$

Step 5

Move the negative in front of the fraction.

$- \frac{1}{13841287201}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{13841287201}$

Decimal Form:

$- 7.22476158 \cdot 10^{- 11}$