Evaluate 3(-4)^-1

$3 {(- 4)}^{- 1}$

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

$3 (\frac{1}{- 4})$

Move the negative in front of the fraction.

$3 (- \frac{1}{4})$

Multiply $3 (- \frac{1}{4})$ .

Multiply $- 1$ by $3$ .

$- 3 (\frac{1}{4})$

Combine $- 3$ and $\frac{1}{4}$ .

$\frac{- 3}{4}$

Move the negative in front of the fraction.

$- \frac{3}{4}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{4}$

Decimal Form:

$- 0.75$