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

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

Evaluate

$$\frac{27}{32}=0.84375$$

Solution Steps

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

$$\frac{\frac{1}{4}}{\left(\frac{2}{3}\right)^{3}}$$

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

$$\frac{\frac{1}{4}}{\frac{8}{27}}$$

Divide \frac{1}{4} by \frac{8}{27} by multiplying \frac{1}{4} by the reciprocal of \frac{8}{27}.

$$\frac{1}{4}\times \frac{27}{8}$$

Multiply \frac{1}{4} times \frac{27}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 27}{4\times 8}$$

Do the multiplications in the fraction \frac{1\times 27}{4\times 8}.

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

Factor

$$\frac{3 ^ {3}}{2 ^ {5}} = 0.84375$$