Solve 5/384*1.8*(3.5)/205*10^6*1571100*10^-12

$$\frac { 5 } { 384 } \times \frac { 1.8 \times ( 3.5 ) } { 205 \cdot 10 ^ { 6 } \times 1571100 \cdot 10 ^ { - 12 } }$$

Evaluate

$$\frac{875}{3435472}\approx 0.000254696$$

Solution Steps

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

$$\frac{5}{384}\times \frac{1.8\times 3.5}{205\times 10^{-6}\times 1571100}$$

Multiply 1.8 and 3.5 to get 6.3.

$$\frac{5}{384}\times \frac{6.3}{205\times 10^{-6}\times 1571100}$$

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

$$\frac{5}{384}\times \frac{6.3}{205\times \frac{1}{1000000}\times 1571100}$$

Multiply 205 and \frac{1}{1000000} to get \frac{41}{200000}.

$$\frac{5}{384}\times \frac{6.3}{\frac{41}{200000}\times 1571100}$$

Multiply \frac{41}{200000} and 1571100 to get \frac{644151}{2000}.

$$\frac{5}{384}\times \frac{6.3}{\frac{644151}{2000}}$$

Divide 6.3 by \frac{644151}{2000} by multiplying 6.3 by the reciprocal of \frac{644151}{2000}.

$$\frac{5}{384}\times 6.3\times \frac{2000}{644151}$$

Multiply 6.3 and \frac{2000}{644151} to get \frac{4200}{214717}.

$$\frac{5}{384}\times \frac{4200}{214717}$$

Multiply \frac{5}{384} and \frac{4200}{214717} to get \frac{875}{3435472}.

$$\frac{875}{3435472}$$

Factor

$$\frac{7 \cdot 5 ^ {3}}{41 \cdot 5237 \cdot 2 ^ {4}} = 0.00025469571575608823$$