Solve 6.625*10^-27/1*10^-3*4.5*10^-5=

$$\frac { 6.625 \times 10 ^ { - 27 } } { 1 \times 10 ^ { - 3 } \times 4.5 \times 10 ^ { - 5 } } =$$

Evaluate

$$\frac{53}{360000000000000000000}\approx 1.472222222 \cdot 10^{-19}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -5 to get -8.

$$\frac{6.625\times 10^{-27}}{1\times 10^{-8}\times 4.5}$$

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

$$\frac{6.625}{4.5\times 10^{19}}$$

Calculate 10 to the power of 19 and get 10000000000000000000.

$$\frac{6.625}{4.5\times 10000000000000000000}$$

Multiply 4.5 and 10000000000000000000 to get 45000000000000000000.

$$\frac{6.625}{45000000000000000000}$$

Expand \frac{6.625}{45000000000000000000} by multiplying both numerator and the denominator by 1000.

$$\frac{6625}{45000000000000000000000}$$

Reduce the fraction \frac{6625}{45000000000000000000000} to lowest terms by extracting and canceling out 125.

$$\frac{53}{360000000000000000000}$$

Factor

$$\frac{53}{2 ^ {21} \cdot 3 ^ {2} \cdot 5 ^ {19}} = 1.4722222222222223 \times 10^{-19}$$