Solve (1/2)^10*16/(frac{1{4})^2}=

$$\frac { ( \frac { 1 } { 2 } ) ^ { 10 } \cdot 16 } { ( \frac { 1 } { 4 } ) ^ { 2 } } =$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Calculate \frac{1}{2} to the power of 10 and get \frac{1}{1024}.

$$\frac{\frac{1}{1024}\times 16}{\left(\frac{1}{4}\right)^{2}}$$

Multiply \frac{1}{1024} and 16 to get \frac{16}{1024}.

$$\frac{\frac{16}{1024}}{\left(\frac{1}{4}\right)^{2}}$$

Reduce the fraction \frac{16}{1024} to lowest terms by extracting and canceling out 16.

$$\frac{\frac{1}{64}}{\left(\frac{1}{4}\right)^{2}}$$

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

$$\frac{\frac{1}{64}}{\frac{1}{16}}$$

Divide \frac{1}{64} by \frac{1}{16} by multiplying \frac{1}{64} by the reciprocal of \frac{1}{16}.

$$\frac{1}{64}\times 16$$

Multiply \frac{1}{64} and 16 to get \frac{16}{64}.

$$\frac{16}{64}$$

Reduce the fraction \frac{16}{64} to lowest terms by extracting and canceling out 16.

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

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$