Solve (1/2)^5.24

$$( \frac { 1 } { 2 } ) ^ { 5 } .24$$

Evaluate

$$0.0075$$

Solution Steps

Calculate \frac{1}{2} to the power of 5 and get \frac{1}{32}.

$$\frac{1}{32}\times 0.24$$

Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{32}\times \frac{6}{25}$$

Multiply \frac{1}{32} times \frac{6}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 6}{32\times 25}$$

Do the multiplications in the fraction \frac{1\times 6}{32\times 25}.

$$\frac{6}{800}$$

Reduce the fraction \frac{6}{800} to lowest terms by extracting and canceling out 2.

$$\frac{3}{400}$$

Factor

$$\frac{3}{2 ^ {4} \cdot 5 ^ {2}} = 0.0075$$