Solve 2(10^-4)+6(10^-8)

$$2 ( 10 ^ { - 4 } ) + 6 ( 10 ^ { - 8 } )$$

Evaluate

$$\frac{10003}{50000000}=0.00020006$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$2\times \frac{1}{10000}+6\times 10^{-8}$$

Multiply 2 and \frac{1}{10000} to get \frac{1}{5000}.

$$\frac{1}{5000}+6\times 10^{-8}$$

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

$$\frac{1}{5000}+6\times \frac{1}{100000000}$$

Multiply 6 and \frac{1}{100000000} to get \frac{3}{50000000}.

$$\frac{1}{5000}+\frac{3}{50000000}$$

Add \frac{1}{5000} and \frac{3}{50000000} to get \frac{10003}{50000000}.

$$\frac{10003}{50000000}$$

Factor

$$\frac{7 \cdot 1429}{2 ^ {7} \cdot 5 ^ {8}} = 0.00020006$$