Solve 2pi510^-30.012/4pi10^-7

$$\frac{ 2 \pi 5 { 10 }^{ -3 } 0.012 }{ 4 \pi { 10 }^{ -7 } }$$

Evaluate

$$300$$

Solution Steps

Cancel out 2\pi in both numerator and denominator.

$$\frac{0.012\times 5\times 10^{-3}}{2\times 10^{-7}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{0.012\times 5\times 10^{4}}{2}$$

Multiply 0.012 and 5 to get 0.06.

$$\frac{0.06\times 10^{4}}{2}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{0.06\times 10000}{2}$$

Multiply 0.06 and 10000 to get 600.

$$\frac{600}{2}$$

Divide 600 by 2 to get 300.

$$300$$

Factor

$$3\times 2^{2}\times 5^{2}$$