Solve 6.63*10^-34*3.0*10^8/1.602*10^-11

$$\frac { 6.63 \times 10 ^ { - 34 } \times 3.0 \times 10 ^ { 8 } } { 1.602 \times 10 ^ { - 11 } }$$

Evaluate

$$\frac{221}{17800000000000000}\approx 1.241573034 \cdot 10^{-14}$$

Solution Steps

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

$$\frac{6.63\times 10^{-26}\times 3}{1.602\times 10^{-11}}$$

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

$$\frac{3\times 6.63}{1.602\times 10^{15}}$$

Multiply 3 and 6.63 to get 19.89.

$$\frac{19.89}{1.602\times 10^{15}}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{19.89}{1.602\times 1000000000000000}$$

Multiply 1.602 and 1000000000000000 to get 1602000000000000.

$$\frac{19.89}{1602000000000000}$$

Expand \frac{19.89}{1602000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{1989}{160200000000000000}$$

Reduce the fraction \frac{1989}{160200000000000000} to lowest terms by extracting and canceling out 9.

$$\frac{221}{17800000000000000}$$

Factor

$$\frac{13 \cdot 17}{89 \cdot 2 ^ {15} \cdot 5 ^ {14}} = 1.2415730337078652 \times 10^{-14}$$