Solve 314(15*10^-3)^2/4

$$\frac { 314 ( 15 \cdot 10 ^ { - 3 } ) ^ { 2 } } { 4 }$$

Evaluate

$$\frac{1413}{80000}=0.0176625$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{314\times \left(15\times \frac{1}{1000}\right)^{2}}{4}$$

Multiply 15 and \frac{1}{1000} to get \frac{3}{200}.

$$\frac{314\times \left(\frac{3}{200}\right)^{2}}{4}$$

Calculate \frac{3}{200} to the power of 2 and get \frac{9}{40000}.

$$\frac{314\times \frac{9}{40000}}{4}$$

Multiply 314 and \frac{9}{40000} to get \frac{1413}{20000}.

$$\frac{\frac{1413}{20000}}{4}$$

Express \frac{\frac{1413}{20000}}{4} as a single fraction.

$$\frac{1413}{20000\times 4}$$

Multiply 20000 and 4 to get 80000.

$$\frac{1413}{80000}$$

Factor

$$\frac{3 ^ {2} \cdot 157}{2 ^ {7} \cdot 5 ^ {4}} = 0.0176625$$