Solve (3*10^8)div(41*40^8)

$$( 3 \times 10 ^ { 8 } ) \div ( 41 \times 40 ^ { 8 } )$$

Evaluate

$$\frac{3}{2686976}\approx 0.000001116$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{3\times 100000000}{41\times 40^{8}}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{300000000}{41\times 40^{8}}$$

Calculate 40 to the power of 8 and get 6553600000000.

$$\frac{300000000}{41\times 6553600000000}$$

Multiply 41 and 6553600000000 to get 268697600000000.

$$\frac{300000000}{268697600000000}$$

Reduce the fraction \frac{300000000}{268697600000000} to lowest terms by extracting and canceling out 100000000.

$$\frac{3}{2686976}$$

Factor

$$\frac{3}{2 ^ {16} \cdot 41} = 1.1164967606707317 \times 10^{-6}$$