Solve 663*10^-34*3*10^8/122*10^2*1602*10^-19

$$\frac { 663 \times 10 ^ { - 34 } \times 3 \times 10 ^ { 8 } } { 122 \times 10 ^ { 2 } \times 1602 \times 10 ^ { - 19 } }$$

Evaluate

$$\frac{221}{21716000000000}\approx 1.017682815 \cdot 10^{-11}$$

Solution Steps

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

$$\frac{663\times 10^{-26}\times 3}{122\times 10^{2}\times 1602\times 10^{-19}}$$

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

$$\frac{663\times 10^{-26}\times 3}{122\times 10^{-17}\times 1602}$$

Cancel out 3\times 3 in both numerator and denominator.

$$\frac{221\times 10^{-26}}{122\times 178\times 10^{-17}}$$

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

$$\frac{221}{122\times 178\times 10^{9}}$$

Multiply 122 and 178 to get 21716.

$$\frac{221}{21716\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{221}{21716\times 1000000000}$$

Multiply 21716 and 1000000000 to get 21716000000000.

$$\frac{221}{21716000000000}$$

Factor

$$\frac{13 \cdot 17}{2 ^ {11} \cdot 5 ^ {9} \cdot 61 \cdot 89} = 1.0176828145146437 \times 10^{-11}$$