Solve -(-3)^-3/(-2)^-4*(-2)^3

$$\frac { - ( - 3 ) ^ { - 3 } } { ( - 2 ) ^ { - 4 } \cdot ( - 2 ) ^ { 3 } }$$

Evaluate

$$-\frac{2}{27}\approx -0.074074074$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and 3 to get -1.

$$\frac{-\left(-3\right)^{-3}}{\left(-2\right)^{-1}}$$

Calculate -3 to the power of -3 and get -\frac{1}{27}.

$$\frac{-\left(-\frac{1}{27}\right)}{\left(-2\right)^{-1}}$$

The opposite of -\frac{1}{27} is \frac{1}{27}.

$$\frac{\frac{1}{27}}{\left(-2\right)^{-1}}$$

Calculate -2 to the power of -1 and get -\frac{1}{2}.

$$\frac{\frac{1}{27}}{-\frac{1}{2}}$$

Divide \frac{1}{27} by -\frac{1}{2} by multiplying \frac{1}{27} by the reciprocal of -\frac{1}{2}.

$$\frac{1}{27}\left(-2\right)$$

Multiply \frac{1}{27} and -2 to get -\frac{2}{27}.

$$-\frac{2}{27}$$

Factor

$$-\frac{2}{27} = -0.07407407407407407$$