Solve 2pi10^-22.210^-3/4pi10^-7

$$\frac{ 2 \pi { 10 }^{ -2 } 2.2 { 10 }^{ -3 } }{ 4 \pi { 10 }^{ -7 } }$$

Evaluate

$$110$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and -3 to get -5.

$$\frac{2\pi \times 10^{-5}\times 2.2}{4\pi \times 10^{-7}}$$

Cancel out 2\pi in both numerator and denominator.

$$\frac{2.2\times 10^{-5}}{2\times 10^{-7}}$$

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

$$\frac{2.2\times 10^{2}}{2}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{2.2\times 100}{2}$$

Multiply 2.2 and 100 to get 220.

$$\frac{220}{2}$$

Divide 220 by 2 to get 110.

$$110$$

Factor

$$2\times 5\times 11$$