Solve 5/384*1.8*(4)^4/200*10^6*1571100*10^-12

$$\frac { 5 } { 384 } \times \frac { 1.8 \times ( 4 ) ^ { 4 } } { 200 \times 10 ^ { 6 } \times 1571100 \times 10 ^ { - 12 } }$$

Evaluate

$$\frac{100}{5237}\approx 0.019094902$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and -12 to get -6.

$$\frac{5}{384}\times \frac{1.8\times 4^{4}}{200\times 10^{-6}\times 1571100}$$

Calculate 4 to the power of 4 and get 256.

$$\frac{5}{384}\times \frac{1.8\times 256}{200\times 10^{-6}\times 1571100}$$

Multiply 1.8 and 256 to get 460.8.

$$\frac{5}{384}\times \frac{460.8}{200\times 10^{-6}\times 1571100}$$

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

$$\frac{5}{384}\times \frac{460.8}{200\times \frac{1}{1000000}\times 1571100}$$

Multiply 200 and \frac{1}{1000000} to get \frac{1}{5000}.

$$\frac{5}{384}\times \frac{460.8}{\frac{1}{5000}\times 1571100}$$

Multiply \frac{1}{5000} and 1571100 to get \frac{15711}{50}.

$$\frac{5}{384}\times \frac{460.8}{\frac{15711}{50}}$$

Divide 460.8 by \frac{15711}{50} by multiplying 460.8 by the reciprocal of \frac{15711}{50}.

$$\frac{5}{384}\times 460.8\times \frac{50}{15711}$$

Multiply 460.8 and \frac{50}{15711} to get \frac{7680}{5237}.

$$\frac{5}{384}\times \frac{7680}{5237}$$

Multiply \frac{5}{384} and \frac{7680}{5237} to get \frac{100}{5237}.

$$\frac{100}{5237}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{5237} = 0.019094901661256443$$