Solve 2*657*10^-33div(1.67*10^-24)

$$2 \cdot 657 \times 10 ^ { - 33 } \div ( 1.67 \times 10 ^ { - 24 } )$$

Evaluate

$$\frac{657}{835000000}\approx 0.000000787$$

Solution Steps

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

$$\frac{2\times 657}{1.67\times 10^{9}}$$

Multiply 2 and 657 to get 1314.

$$\frac{1314}{1.67\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{1314}{1.67\times 1000000000}$$

Multiply 1.67 and 1000000000 to get 1670000000.

$$\frac{1314}{1670000000}$$

Reduce the fraction \frac{1314}{1670000000} to lowest terms by extracting and canceling out 2.

$$\frac{657}{835000000}$$

Factor

$$\frac{73 \cdot 3 ^ {2}}{167 \cdot 2 ^ {6} \cdot 5 ^ {7}} = 7.868263473053893 \times 10^{-7}$$