Solve (2/20)^4*3+(9/25)^3*1/10*3

$$( \frac { 2 } { 20 } ) ^ { 4 } \times 3 + ( \frac { 9 } { 25 } ) ^ { 3 } \cdot \frac { 1 } { 10 } \times 3$$

Evaluate

$$\frac{17871}{1250000}=0.0142968$$

Solution Steps

Reduce the fraction \frac{2}{20} to lowest terms by extracting and canceling out 2.

$$\left(\frac{1}{10}\right)^{4}\times 3+\left(\frac{9}{25}\right)^{3}\times \frac{1}{10}\times 3$$

Calculate \frac{1}{10} to the power of 4 and get \frac{1}{10000}.

$$\frac{1}{10000}\times 3+\left(\frac{9}{25}\right)^{3}\times \frac{1}{10}\times 3$$

Multiply \frac{1}{10000} and 3 to get \frac{3}{10000}.

$$\frac{3}{10000}+\left(\frac{9}{25}\right)^{3}\times \frac{1}{10}\times 3$$

Calculate \frac{9}{25} to the power of 3 and get \frac{729}{15625}.

$$\frac{3}{10000}+\frac{729}{15625}\times \frac{1}{10}\times 3$$

Multiply \frac{729}{15625} and \frac{1}{10} to get \frac{729}{156250}.

$$\frac{3}{10000}+\frac{729}{156250}\times 3$$

Multiply \frac{729}{156250} and 3 to get \frac{2187}{156250}.

$$\frac{3}{10000}+\frac{2187}{156250}$$

Add \frac{3}{10000} and \frac{2187}{156250} to get \frac{17871}{1250000}.

$$\frac{17871}{1250000}$$

Factor

$$\frac{3 \cdot 7 \cdot 23 \cdot 37}{2 ^ {4} \cdot 5 ^ {7}} = 0.0142968$$