Solve 200/6.3*10^-4*1.5*10^-2*2*10^-5

$$\frac { 200 } { 6.3 \times 10 ^ { - 4 } \times 1.5 \times 10 ^ { - 2 } } \times 2 \times 10 ^ { - 5 }$$

Evaluate

$$\frac{80000}{189}\approx 423.28042328$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -2 to get -6.

$$\frac{200}{6.3\times 10^{-6}\times 1.5}\times 2\times 10^{-5}$$

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

$$\frac{200}{6.3\times \frac{1}{1000000}\times 1.5}\times 2\times 10^{-5}$$

Multiply 6.3 and \frac{1}{1000000} to get \frac{63}{10000000}.

$$\frac{200}{\frac{63}{10000000}\times 1.5}\times 2\times 10^{-5}$$

Multiply \frac{63}{10000000} and 1.5 to get \frac{189}{20000000}.

$$\frac{200}{\frac{189}{20000000}}\times 2\times 10^{-5}$$

Divide 200 by \frac{189}{20000000} by multiplying 200 by the reciprocal of \frac{189}{20000000}.

$$200\times \frac{20000000}{189}\times 2\times 10^{-5}$$

Multiply 200 and \frac{20000000}{189} to get \frac{4000000000}{189}.

$$\frac{4000000000}{189}\times 2\times 10^{-5}$$

Multiply \frac{4000000000}{189} and 2 to get \frac{8000000000}{189}.

$$\frac{8000000000}{189}\times 10^{-5}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{8000000000}{189}\times \frac{1}{100000}$$

Multiply \frac{8000000000}{189} and \frac{1}{100000} to get \frac{80000}{189}.

$$\frac{80000}{189}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {4}}{7 \cdot 3 ^ {3}} = 423\frac{53}{189} = 423.2804232804233$$