Solve 1/10:1/(2)^5*1/5

$$\frac { 1 } { 10 } : \frac { 1 } { ( 2 ) ^ { 5 } } \cdot \frac { 1 } { 5 }$$

Evaluate

$$\frac{16}{25}=0.64$$

Solution Steps

Divide \frac{1}{10} by \frac{1}{2^{5}} by multiplying \frac{1}{10} by the reciprocal of \frac{1}{2^{5}}.

$$\frac{2^{5}}{10}\times \frac{1}{5}$$

Calculate 2 to the power of 5 and get 32.

$$\frac{32}{10}\times \frac{1}{5}$$

Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}\times \frac{1}{5}$$

Multiply \frac{16}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 1}{5\times 5}$$

Do the multiplications in the fraction \frac{16\times 1}{5\times 5}.

$$\frac{16}{25}$$

Factor

$$\frac{2 ^ {4}}{5 ^ {2}} = 0.64$$