Solve 0.5*0.64/3.14*(4.7*10^-6)^2

$$0.5 \times \frac { 0.64 } { 3.14 \times ( 4.7 \times 10 ^ { - 6 } ) ^ { 2 } }$$

Evaluate

$$\frac{1600000000000000}{346813}\approx 4613437212.561236171$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$0.5\times \frac{0.64}{3.14\times \left(4.7\times \frac{1}{1000000}\right)^{2}}$$

Multiply 4.7 and \frac{1}{1000000} to get \frac{47}{10000000}.

$$0.5\times \frac{0.64}{3.14\times \left(\frac{47}{10000000}\right)^{2}}$$

Calculate \frac{47}{10000000} to the power of 2 and get \frac{2209}{100000000000000}.

$$0.5\times \frac{0.64}{3.14\times \frac{2209}{100000000000000}}$$

Multiply 3.14 and \frac{2209}{100000000000000} to get \frac{346813}{5000000000000000}.

$$0.5\times \frac{0.64}{\frac{346813}{5000000000000000}}$$

Divide 0.64 by \frac{346813}{5000000000000000} by multiplying 0.64 by the reciprocal of \frac{346813}{5000000000000000}.

$$0.5\times 0.64\times \frac{5000000000000000}{346813}$$

Multiply 0.64 and \frac{5000000000000000}{346813} to get \frac{3200000000000000}{346813}.

$$0.5\times \frac{3200000000000000}{346813}$$

Multiply 0.5 and \frac{3200000000000000}{346813} to get \frac{1600000000000000}{346813}.

$$\frac{1600000000000000}{346813}$$

Factor

$$\frac{2 ^ {18} \cdot 5 ^ {14}}{157 \cdot 47 ^ {2}} = 4613437212\frac{194644}{346813} = 4613437212.561236$$