Solve 12.56*10^-7*100/6.28*0.1=

$$\frac { 12.56 \times 10 ^ { - 7 } \times 100 } { 6.28 \times 0.1 } =$$

Evaluate

$$0.0002$$

Solution Steps

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{12.56\times \frac{1}{10000000}\times 100}{6.28\times 0.1}$$

Multiply 12.56 and \frac{1}{10000000} to get \frac{157}{125000000}.

$$\frac{\frac{157}{125000000}\times 100}{6.28\times 0.1}$$

Multiply \frac{157}{125000000} and 100 to get \frac{157}{1250000}.

$$\frac{\frac{157}{1250000}}{6.28\times 0.1}$$

Multiply 6.28 and 0.1 to get 0.628.

$$\frac{\frac{157}{1250000}}{0.628}$$

Express \frac{\frac{157}{1250000}}{0.628} as a single fraction.

$$\frac{157}{1250000\times 0.628}$$

Multiply 1250000 and 0.628 to get 785000.

$$\frac{157}{785000}$$

Reduce the fraction \frac{157}{785000} to lowest terms by extracting and canceling out 157.

$$\frac{1}{5000}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5 ^ {4}} = 0.0002$$