Solve 6,626*10^-34*3*10^8/4,1*10^-7

$$6,626 \cdot 10 ^ { - 34 } \cdot \frac { 3 \cdot 10 ^ { 8 } } { 4,1 \cdot 10 ^ { - 7 } }$$

Evaluate

$$\frac{9939}{20500000000000000000000}\approx 4,848292683 \cdot 10^{-19}$$

Solution Steps

Calculate 10 to the power of -34 and get \frac{1}{10000000000000000000000000000000000}.

$$6,626\times \frac{1}{10000000000000000000000000000000000}\times \frac{3\times 10^{8}}{4,1\times 10^{-7}}$$

Multiply 6,626 and \frac{1}{10000000000000000000000000000000000} to get \frac{3313}{5000000000000000000000000000000000000}.

$$\frac{3313}{5000000000000000000000000000000000000}\times \frac{3\times 10^{8}}{4,1\times 10^{-7}}$$

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

$$\frac{3313}{5000000000000000000000000000000000000}\times \frac{3\times 10^{15}}{4,1}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{3313}{5000000000000000000000000000000000000}\times \frac{3\times 1000000000000000}{4,1}$$

Multiply 3 and 1000000000000000 to get 3000000000000000.

$$\frac{3313}{5000000000000000000000000000000000000}\times \frac{3000000000000000}{4,1}$$

Expand \frac{3000000000000000}{4,1} by multiplying both numerator and the denominator by 10.

$$\frac{3313}{5000000000000000000000000000000000000}\times \frac{30000000000000000}{41}$$

Multiply \frac{3313}{5000000000000000000000000000000000000} and \frac{30000000000000000}{41} to get \frac{9939}{20500000000000000000000}.

$$\frac{9939}{20500000000000000000000}$$

Factor

$$\frac{3 \cdot 3313}{41 \cdot 2 ^ {20} \cdot 5 ^ {21}} = 4.84829268292683 \times 10^{-19}$$