Solve 3.0*10^8*6.582119514*10^-16/15.5

$$\frac { 3.0 \times 10 ^ { 8 } \times 6.582119514 \times 10 ^ { - 16 } } { 15.5 }$$

Evaluate

$$\frac{9873179271}{775000000000000000}\approx 0.000000013$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and -16 to get -8.

$$\frac{3\times 10^{-8}\times 6.582119514}{15.5}$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$\frac{3\times \frac{1}{100000000}\times 6.582119514}{15.5}$$

Multiply 3 and \frac{1}{100000000} to get \frac{3}{100000000}.

$$\frac{\frac{3}{100000000}\times 6.582119514}{15.5}$$

Multiply \frac{3}{100000000} and 6.582119514 to get \frac{9873179271}{50000000000000000}.

$$\frac{\frac{9873179271}{50000000000000000}}{15.5}$$

Express \frac{\frac{9873179271}{50000000000000000}}{15.5} as a single fraction.

$$\frac{9873179271}{50000000000000000\times 15.5}$$

Multiply 50000000000000000 and 15.5 to get 775000000000000000.

$$\frac{9873179271}{775000000000000000}$$

Factor

$$\frac{37 \cdot 967 \cdot 30661 \cdot 3 ^ {2}}{31 \cdot 2 ^ {15} \cdot 5 ^ {17}} = 1.2739586156129032 \times 10^{-8}$$