Simplify (4*7)^-4

${(4 \cdot 7)}^{- 4}$

Step 1

Multiply $4$ by $7$ .

$28^{- 4}$

Step 2

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

$\frac{1}{28^{4}}$

Step 3

Raise $28$ to the power of $4$ .

$\frac{1}{614656}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{614656}$

Decimal Form:

$1.62692628 \cdot 10^{- 6}$