Solve 9*10^-31*10^6/5*1.6*10^-19

$$\frac{ 9 \times { 10 }^{ -31 } \times { 10 }^{ 6 } }{ 5 \times 1.6 \times { 10 }^{ -19 } }$$

Evaluate

$$0.000001125$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -31 and 6 to get -25.

$$\frac{9\times 10^{-25}}{5\times 1.6\times 10^{-19}}$$

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

$$\frac{9}{1.6\times 5\times 10^{6}}$$

Multiply 1.6 and 5 to get 8.

$$\frac{9}{8\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{9}{8\times 1000000}$$

Multiply 8 and 1000000 to get 8000000.

$$\frac{9}{8000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {9} \cdot 5 ^ {6}} = 1.125 \times 10^{-6}$$