Solve 1*28*10^-16/20*10^-3*1*6*10^-19

$$\frac{ 1 \cdot 28 \times { 10 }^{ -16 } }{ 20 \times { 10 }^{ -3 } \times 1 \cdot 6 \times { 10 }^{ -19 } }$$

Evaluate

$$\frac{700000}{3}\approx 233333.333333333$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -19 to get -22.

$$\frac{1\times 28\times 10^{-16}}{20\times 10^{-22}\times 1\times 6}$$

Cancel out 4 in both numerator and denominator.

$$\frac{7\times 10^{-16}}{5\times 6\times 10^{-22}}$$

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

$$\frac{7\times 10^{6}}{5\times 6}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{7\times 1000000}{5\times 6}$$

Multiply 7 and 1000000 to get 7000000.

$$\frac{7000000}{5\times 6}$$

Multiply 5 and 6 to get 30.

$$\frac{7000000}{30}$$

Reduce the fraction \frac{7000000}{30} to lowest terms by extracting and canceling out 10.

$$\frac{700000}{3}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {5} \cdot 7}{3} = 233333\frac{1}{3} = 233333.33333333334$$