Solve (2(110^-4)+6(10^-8))/1+3(10^-4)I

$$\frac { ( 2 ( 110 ^ { - 4 } ) + 6 ( 10 ^ { - 8 } ) ) } { 1 + 3 ( 10 ^ { - 4 } ) } I$$

Evaluate

$$\frac{53923I}{732269615000}$$

Solution Steps

Calculate 110 to the power of -4 and get \frac{1}{146410000}.

$$\frac{2\times \frac{1}{146410000}+6\times 10^{-8}}{1+3\times 10^{-4}}I$$

Multiply 2 and \frac{1}{146410000} to get \frac{1}{73205000}.

$$\frac{\frac{1}{73205000}+6\times 10^{-8}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{1}{73205000}+6\times \frac{1}{100000000}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{1}{73205000}+\frac{3}{50000000}}{1+3\times 10^{-4}}I$$

Add \frac{1}{73205000} and \frac{3}{50000000} to get \frac{53923}{732050000000}.

$$\frac{\frac{53923}{732050000000}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{53923}{732050000000}}{1+3\times \frac{1}{10000}}I$$

Multiply 3 and \frac{1}{10000} to get \frac{3}{10000}.

$$\frac{\frac{53923}{732050000000}}{1+\frac{3}{10000}}I$$

Add 1 and \frac{3}{10000} to get \frac{10003}{10000}.

$$\frac{\frac{53923}{732050000000}}{\frac{10003}{10000}}I$$

Divide \frac{53923}{732050000000} by \frac{10003}{10000} by multiplying \frac{53923}{732050000000} by the reciprocal of \frac{10003}{10000}.

$$\frac{53923}{732050000000}\times \frac{10000}{10003}I$$

Multiply \frac{53923}{732050000000} and \frac{10000}{10003} to get \frac{53923}{732269615000}.

$$\frac{53923}{732269615000}I$$

Expand

$$\frac{53923I}{732269615000}$$

Solution Steps

Calculate 110 to the power of -4 and get \frac{1}{146410000}.

$$\frac{2\times \frac{1}{146410000}+6\times 10^{-8}}{1+3\times 10^{-4}}I$$

Multiply 2 and \frac{1}{146410000} to get \frac{1}{73205000}.

$$\frac{\frac{1}{73205000}+6\times 10^{-8}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{1}{73205000}+6\times \frac{1}{100000000}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{1}{73205000}+\frac{3}{50000000}}{1+3\times 10^{-4}}I$$

Add \frac{1}{73205000} and \frac{3}{50000000} to get \frac{53923}{732050000000}.

$$\frac{\frac{53923}{732050000000}}{1+3\times 10^{-4}}I$$

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

$$\frac{\frac{53923}{732050000000}}{1+3\times \frac{1}{10000}}I$$

Multiply 3 and \frac{1}{10000} to get \frac{3}{10000}.

$$\frac{\frac{53923}{732050000000}}{1+\frac{3}{10000}}I$$

Add 1 and \frac{3}{10000} to get \frac{10003}{10000}.

$$\frac{\frac{53923}{732050000000}}{\frac{10003}{10000}}I$$

Divide \frac{53923}{732050000000} by \frac{10003}{10000} by multiplying \frac{53923}{732050000000} by the reciprocal of \frac{10003}{10000}.

$$\frac{53923}{732050000000}\times \frac{10000}{10003}I$$

Multiply \frac{53923}{732050000000} and \frac{10000}{10003} to get \frac{53923}{732269615000}.

$$\frac{53923}{732269615000}I$$