Solve 1.03/(3*10^8)(frac{1{12}*10^7)}

$$\frac { 1.03 } { ( 3 \times 10 ^ { 8 } ) ( \frac { 1 } { 12 } \times 10 ^ { 7 } ) }$$

Evaluate

$$0.00000000000000412$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and 7 to get 15.

$$\frac{1.03}{3\times 10^{15}\times \frac{1}{12}}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{1.03}{3\times 1000000000000000\times \frac{1}{12}}$$

Multiply 3 and 1000000000000000 to get 3000000000000000.

$$\frac{1.03}{3000000000000000\times \frac{1}{12}}$$

Multiply 3000000000000000 and \frac{1}{12} to get \frac{3000000000000000}{12}.

$$\frac{1.03}{\frac{3000000000000000}{12}}$$

Divide 3000000000000000 by 12 to get 250000000000000.

$$\frac{1.03}{250000000000000}$$

Expand \frac{1.03}{250000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{103}{25000000000000000}$$

Factor

$$\frac{103}{2 ^ {15} \cdot 5 ^ {17}} = 4.119999999999999 \times 10^{-15}$$