Solve 3*10^8/6.63*10^-34

$$\frac { 3 \times 10 ^ { 8 } } { 6.63 \times 10 ^ { - 34 } }$$

Evaluate

$$\frac{100000000000000000000000000000000000000000000}{221}\approx 4.524886878 \cdot 10^{41}$$

Solution Steps

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

$$\frac{3\times 10^{42}}{6.63}$$

Calculate 10 to the power of 42 and get 1000000000000000000000000000000000000000000.

$$\frac{3\times 1000000000000000000000000000000000000000000}{6.63}$$

Multiply 3 and 1000000000000000000000000000000000000000000 to get 3000000000000000000000000000000000000000000.

$$\frac{3000000000000000000000000000000000000000000}{6.63}$$

Expand \frac{3000000000000000000000000000000000000000000}{6.63} by multiplying both numerator and the denominator by 100.

$$\frac{300000000000000000000000000000000000000000000}{663}$$

Reduce the fraction \frac{300000000000000000000000000000000000000000000}{663} to lowest terms by extracting and canceling out 3.

$$\frac{100000000000000000000000000000000000000000000}{221}$$

Factor

$$\frac{2 ^ {44} \cdot 5 ^ {44}}{13 \cdot 17} = 4.524886877828054 \times 10^{41}\frac{174}{221} = 4.524886877828054 \times 10^{41}$$