Solve (1/2)^3div(1/4)^2

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

Evaluate

$$2$$

Solution Steps

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

$$\frac{\frac{1}{8}}{\left(\frac{1}{4}\right)^{2}}$$

Calculate \frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$\frac{\frac{1}{8}}{\frac{1}{16}}$$

Divide \frac{1}{8} by \frac{1}{16} by multiplying \frac{1}{8} by the reciprocal of \frac{1}{16}.

$$\frac{1}{8}\times 16$$

Multiply \frac{1}{8} and 16 to get \frac{16}{8}.

$$\frac{16}{8}$$

Divide 16 by 8 to get 2.

$$2$$

Factor

$$2$$