Solve (1/2)^-2div(2/3)^-3

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

Evaluate

$$\frac{32}{27}\approx 1.185185185$$

Solution Steps

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

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

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

$$\frac{4}{\frac{27}{8}}$$

Divide 4 by \frac{27}{8} by multiplying 4 by the reciprocal of \frac{27}{8}.

$$4\times \frac{8}{27}$$

Multiply 4 and \frac{8}{27} to get \frac{32}{27}.

$$\frac{32}{27}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {3}} = 1\frac{5}{27} = 1.1851851851851851$$