Solve 1/2+(12*10^-8)^0/12.56*10^-7

$$\frac { 1 } { 2 } + \frac { ( 12 \times 10 ^ { - 8 } ) ^ { 0 } } { 12.56 \times 10 ^ { - 7 } }$$

Evaluate

$$\frac{250000157}{314}\approx 796178.843949045$$

Solution Steps

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

$$\frac{1}{2}+\frac{\left(12\times \frac{1}{100000000}\right)^{0}}{12.56\times 10^{-7}}$$

Multiply 12 and \frac{1}{100000000} to get \frac{3}{25000000}.

$$\frac{1}{2}+\frac{\left(\frac{3}{25000000}\right)^{0}}{12.56\times 10^{-7}}$$

Calculate \frac{3}{25000000} to the power of 0 and get 1.

$$\frac{1}{2}+\frac{1}{12.56\times 10^{-7}}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{1}{2}+\frac{1}{12.56\times \frac{1}{10000000}}$$

Multiply 12.56 and \frac{1}{10000000} to get \frac{157}{125000000}.

$$\frac{1}{2}+\frac{1}{\frac{157}{125000000}}$$

Divide 1 by \frac{157}{125000000} by multiplying 1 by the reciprocal of \frac{157}{125000000}.

$$\frac{1}{2}+1\times \frac{125000000}{157}$$

Multiply 1 and \frac{125000000}{157} to get \frac{125000000}{157}.

$$\frac{1}{2}+\frac{125000000}{157}$$

Add \frac{1}{2} and \frac{125000000}{157} to get \frac{250000157}{314}.

$$\frac{250000157}{314}$$

Factor

$$\frac{19 \cdot 37 \cdot 2939 \cdot 11 ^ {2}}{2 \cdot 157} = 796178\frac{265}{314} = 796178.8439490446$$