Solve (4)(-1)^-1+(-3)(4)^-1

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

Evaluate

$$-\frac{19}{4}=-4.75$$

Solution Steps

Calculate -1 to the power of -1 and get -1.

$$4\left(-1\right)-3\times 4^{-1}$$

Multiply 4 and -1 to get -4.

$$-4-3\times 4^{-1}$$

Calculate 4 to the power of -1 and get \frac{1}{4}.

$$-4-3\times \frac{1}{4}$$

Multiply -3 and \frac{1}{4} to get -\frac{3}{4}.

$$-4-\frac{3}{4}$$

Subtract \frac{3}{4} from -4 to get -\frac{19}{4}.

$$-\frac{19}{4}$$

Factor

$$-\frac{19}{4} = -4\frac{3}{4} = -4.75$$