Solve 1.67*10^-27*9*10^6/3*1.6*10^-19

$$\frac{ 1.67 \times { 10 }^{ -27 } \times 9 \times { 10 }^{ 6 } }{ 3 \times 1.6 \times { 10 }^{ -19 } }$$

Evaluate

$$0.0313125$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -27 and 6 to get -21.

$$\frac{1.67\times 10^{-21}\times 9}{3\times 1.6\times 10^{-19}}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1.67\times 3\times 10^{-21}}{1.6\times 10^{-19}}$$

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

$$\frac{1.67\times 3}{1.6\times 10^{2}}$$

Multiply 1.67 and 3 to get 5.01.

$$\frac{5.01}{1.6\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{5.01}{1.6\times 100}$$

Multiply 1.6 and 100 to get 160.

$$\frac{5.01}{160}$$

Expand \frac{5.01}{160} by multiplying both numerator and the denominator by 100.

$$\frac{501}{16000}$$

Factor

$$\frac{3 \cdot 167}{2 ^ {7} \cdot 5 ^ {3}} = 0.0313125$$