Solve 1000*2*10^-6*10/45*3.14*2*10^-3

$$\frac{ 1000 \times 2 \times { 10 }^{ -6 } \times 10 }{ 45 \times 3.14 \times 2 \times { 10 }^{ -3 } }$$

Evaluate

$$\frac{100}{1413}\approx 0.070771408$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and 1 to get -5.

$$\frac{1000\times 2\times 10^{-5}}{45\times 3.14\times 2\times 10^{-3}}$$

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{2\times 100\times 10^{-5}}{3.14\times 9\times 10^{-3}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2\times 100}{3.14\times 9\times 10^{2}}$$

Multiply 2 and 100 to get 200.

$$\frac{200}{3.14\times 9\times 10^{2}}$$

Multiply 3.14 and 9 to get 28.26.

$$\frac{200}{28.26\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{200}{28.26\times 100}$$

Multiply 28.26 and 100 to get 2826.

$$\frac{200}{2826}$$

Reduce the fraction \frac{200}{2826} to lowest terms by extracting and canceling out 2.

$$\frac{100}{1413}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{157 \cdot 3 ^ {2}} = 0.07077140835102619$$