Solve 1/2*(12*10^-8)^2/12*56*10^-7

$$\frac { 1 } { 2 } \times \frac { ( 12 \times 10 ^ { - 8 } ) ^ { 2 } } { 12 \cdot 56 \times 10 ^ { - 7 } }$$

Evaluate

$$\frac{3}{28000000000}\approx 1.071428571 \cdot 10^{-10}$$

Solution Steps

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

$$\frac{1}{2}\times \frac{\left(12\times \frac{1}{100000000}\right)^{2}}{12\times 56\times 10^{-7}}$$

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

$$\frac{1}{2}\times \frac{\left(\frac{3}{25000000}\right)^{2}}{12\times 56\times 10^{-7}}$$

Calculate \frac{3}{25000000} to the power of 2 and get \frac{9}{625000000000000}.

$$\frac{1}{2}\times \frac{\frac{9}{625000000000000}}{12\times 56\times 10^{-7}}$$

Multiply 12 and 56 to get 672.

$$\frac{1}{2}\times \frac{\frac{9}{625000000000000}}{672\times 10^{-7}}$$

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

$$\frac{1}{2}\times \frac{\frac{9}{625000000000000}}{672\times \frac{1}{10000000}}$$

Multiply 672 and \frac{1}{10000000} to get \frac{21}{312500}.

$$\frac{1}{2}\times \frac{\frac{9}{625000000000000}}{\frac{21}{312500}}$$

Divide \frac{9}{625000000000000} by \frac{21}{312500} by multiplying \frac{9}{625000000000000} by the reciprocal of \frac{21}{312500}.

$$\frac{1}{2}\times \frac{9}{625000000000000}\times \frac{312500}{21}$$

Multiply \frac{9}{625000000000000} and \frac{312500}{21} to get \frac{3}{14000000000}.

$$\frac{1}{2}\times \frac{3}{14000000000}$$

Multiply \frac{1}{2} and \frac{3}{14000000000} to get \frac{3}{28000000000}.

$$\frac{3}{28000000000}$$

Factor

$$\frac{3}{2 ^ {11} \cdot 5 ^ {9} \cdot 7} = 1.0714285714285714 \times 10^{-10}$$