Solve (-3)^-4/(-4)^-3

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

Evaluate

$$-\frac{64}{81}\approx -0.790123457$$

Solution Steps

Calculate -3 to the power of -4 and get \frac{1}{81}.

$$\frac{\frac{1}{81}}{\left(-4\right)^{-3}}$$

Calculate -4 to the power of -3 and get -\frac{1}{64}.

$$\frac{\frac{1}{81}}{-\frac{1}{64}}$$

Divide \frac{1}{81} by -\frac{1}{64} by multiplying \frac{1}{81} by the reciprocal of -\frac{1}{64}.

$$\frac{1}{81}\left(-64\right)$$

Multiply \frac{1}{81} and -64 to get -\frac{64}{81}.

$$-\frac{64}{81}$$

Factor

$$-\frac{64}{81} = -0.7901234567901234$$