Solve 3^-3/2^-2

$$\frac { 3 ^ { - 3 } } { 2 ^ { - 2 } }$$

Evaluate

$$\frac{4}{27}\approx 0.148148148$$

Solution Steps

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

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

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$\frac{\frac{1}{27}}{\frac{1}{4}}$$

Divide \frac{1}{27} by \frac{1}{4} by multiplying \frac{1}{27} by the reciprocal of \frac{1}{4}.

$$\frac{1}{27}\times 4$$

Multiply \frac{1}{27} and 4 to get \frac{4}{27}.

$$\frac{4}{27}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {3}} = 0.14814814814814814$$