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

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

Evaluate

$$\frac{15625}{335168}\approx 0.046618412$$

Solution Steps

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

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

Calculate 5 to the power of 4 and get 625.

$$\frac{5}{384}\times \frac{1.8\times 625}{200\times 10^{-6}\times 1571100}$$

Multiply 1.8 and 625 to get 1125.

$$\frac{5}{384}\times \frac{1125}{200\times 10^{-6}\times 1571100}$$

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

$$\frac{5}{384}\times \frac{1125}{200\times \frac{1}{1000000}\times 1571100}$$

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

$$\frac{5}{384}\times \frac{1125}{\frac{1}{5000}\times 1571100}$$

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

$$\frac{5}{384}\times \frac{1125}{\frac{15711}{50}}$$

Divide 1125 by \frac{15711}{50} by multiplying 1125 by the reciprocal of \frac{15711}{50}.

$$\frac{5}{384}\times 1125\times \frac{50}{15711}$$

Multiply 1125 and \frac{50}{15711} to get \frac{18750}{5237}.

$$\frac{5}{384}\times \frac{18750}{5237}$$

Multiply \frac{5}{384} and \frac{18750}{5237} to get \frac{15625}{335168}.

$$\frac{15625}{335168}$$

Factor

$$\frac{5 ^ {6}}{5237 \cdot 2 ^ {6}} = 0.046618412258926864$$