Solve 6.63*10^-34*3*10^8/1.22*10^2*1.602*10^-19

$$\frac { 6.63 \times 10 ^ { - 34 } \times 3 \times 10 ^ { 8 } } { 1.22 \times 10 ^ { 2 } \times 1.602 \times 10 ^ { - 19 } }$$

Evaluate

$$\frac{221}{21716000000}\approx 0.00000001$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -34 and 8 to get -26.

$$\frac{6.63\times 10^{-26}\times 3}{1.22\times 10^{2}\times 1.602\times 10^{-19}}$$

To multiply powers of the same base, add their exponents. Add 2 and -19 to get -17.

$$\frac{6.63\times 10^{-26}\times 3}{1.22\times 10^{-17}\times 1.602}$$

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

$$\frac{3\times 6.63}{1.22\times 1.602\times 10^{9}}$$

Multiply 3 and 6.63 to get 19.89.

$$\frac{19.89}{1.22\times 1.602\times 10^{9}}$$

Multiply 1.22 and 1.602 to get 1.95444.

$$\frac{19.89}{1.95444\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{19.89}{1.95444\times 1000000000}$$

Multiply 1.95444 and 1000000000 to get 1954440000.

$$\frac{19.89}{1954440000}$$

Expand \frac{19.89}{1954440000} by multiplying both numerator and the denominator by 100.

$$\frac{1989}{195444000000}$$

Reduce the fraction \frac{1989}{195444000000} to lowest terms by extracting and canceling out 9.

$$\frac{221}{21716000000}$$

Factor

$$\frac{13 \cdot 17}{61 \cdot 89 \cdot 2 ^ {8} \cdot 5 ^ {6}} = 1.0176828145146437 \times 10^{-8}$$