Solve 2*10^-78/2*10^-2

$$2 \times { 10 }^{ -7 } \frac{ 8 }{ 2 \times { 10 }^{ -2 } }$$

Evaluate

$$\frac{1}{12500}=0.00008$$

Solution Steps

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

$$2\times \frac{1}{10000000}\times \frac{8}{2\times 10^{-2}}$$

Multiply 2 and \frac{1}{10000000} to get \frac{1}{5000000}.

$$\frac{1}{5000000}\times \frac{8}{2\times 10^{-2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{1}{5000000}\times \frac{8}{2\times \frac{1}{100}}$$

Multiply 2 and \frac{1}{100} to get \frac{1}{50}.

$$\frac{1}{5000000}\times \frac{8}{\frac{1}{50}}$$

Divide 8 by \frac{1}{50} by multiplying 8 by the reciprocal of \frac{1}{50}.

$$\frac{1}{5000000}\times 8\times 50$$

Multiply 8 and 50 to get 400.

$$\frac{1}{5000000}\times 400$$

Multiply \frac{1}{5000000} and 400 to get \frac{1}{12500}.

$$\frac{1}{12500}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5 ^ {5}} = 8 \times 10^{-5}$$