Solve 1*10^-6*1000*10/32*3,14*10^-3=

$$\frac { 1 \cdot 10 ^ { - 6 } \cdot 1000 \cdot 10 } { 32 \cdot 3,14 \cdot 10 ^ { - 3 } } =$$

Evaluate

$$\frac{125}{1256}\approx 0,099522293$$

Solution Steps

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

$$\frac{1\times 10^{-5}\times 1000}{32\times 3,14\times 10^{-3}}$$

Cancel out 8 in both numerator and denominator.

$$\frac{125\times 10^{-5}}{3,14\times 4\times 10^{-3}}$$

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

$$\frac{125}{3,14\times 4\times 10^{2}}$$

Multiply 3,14 and 4 to get 12,56.

$$\frac{125}{12,56\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{125}{12,56\times 100}$$

Multiply 12,56 and 100 to get 1256.

$$\frac{125}{1256}$$

Factor

$$\frac{5 ^ {3}}{157 \cdot 2 ^ {3}} = 0.09952229299363058$$