Solve 2^-3*(9/4)^-3/2div(3/2)^0

$$2 ^ { - 3 } \times ( \frac { 9 } { 4 } ) ^ { - 3 / 2 } \div ( \frac { 3 } { 2 } ) ^ { 0 }$$

Evaluate

$$\frac{1}{27}\approx 0.037037037$$

Solution Steps

Calculate 2 to the power of -3 and get \frac{1}{8}.

$$\frac{\frac{1}{8}\times \left(\frac{9}{4}\right)^{-\frac{3}{2}}}{\left(\frac{3}{2}\right)^{0}}$$

Calculate \frac{9}{4} to the power of -\frac{3}{2} and get \frac{8}{27}.

$$\frac{\frac{1}{8}\times \frac{8}{27}}{\left(\frac{3}{2}\right)^{0}}$$

Multiply \frac{1}{8} and \frac{8}{27} to get \frac{1}{27}.

$$\frac{\frac{1}{27}}{\left(\frac{3}{2}\right)^{0}}$$

Calculate \frac{3}{2} to the power of 0 and get 1.

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

Anything divided by one gives itself.

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

Factor

$$\frac{1}{3 ^ {3}} = 0.037037037037037035$$