Solve (2/10)^3+(16/106)^2

$$( \frac { 2 } { 10 } ) ^ { 3 } + ( \frac { 16 } { 106 } ) ^ { 2 }$$

Evaluate

$$\frac{10809}{351125}\approx 0.030783909$$

Solution Steps

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

$$\left(\frac{1}{5}\right)^{3}+\left(\frac{16}{106}\right)^{2}$$

Calculate \frac{1}{5} to the power of 3 and get \frac{1}{125}.

$$\frac{1}{125}+\left(\frac{16}{106}\right)^{2}$$

Reduce the fraction \frac{16}{106} to lowest terms by extracting and canceling out 2.

$$\frac{1}{125}+\left(\frac{8}{53}\right)^{2}$$

Calculate \frac{8}{53} to the power of 2 and get \frac{64}{2809}.

$$\frac{1}{125}+\frac{64}{2809}$$

Add \frac{1}{125} and \frac{64}{2809} to get \frac{10809}{351125}.

$$\frac{10809}{351125}$$

Factor

$$\frac{3 ^ {2} \cdot 1201}{5 ^ {3} \cdot 53 ^ {2}} = 0.030783908864364544$$