Solve 3*10^8/663*10^-34

$$\frac { 3 \times 10 ^ { 8 } } { 663 \times 10 ^ { - 34 } }$$

Evaluate

$$\frac{1000000000000000000000000000000000000000000}{221}\approx 4.524886878 \cdot 10^{39}$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{10^{8}}{221\times 10^{-34}}$$

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

$$\frac{10^{42}}{221}$$

Calculate 10 to the power of 42 and get 1000000000000000000000000000000000000000000.

$$\frac{1000000000000000000000000000000000000000000}{221}$$

Factor

$$\frac{2 ^ {42} \cdot 5 ^ {42}}{13 \cdot 17} = 4.524886877828055 \times 10^{39}\frac{175}{221} = 4.524886877828055 \times 10^{39}$$