Solve 2*3.1415*10*10^3*20*10^-6

$$2 \times 3.1415 \times 10 \times 10 ^ { 3 } \times 20 \times 10 ^ { - 6 }$$

Evaluate

$$1.2566$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$2\times 3.1415\times 10^{4}\times 20\times 10^{-6}$$

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

$$2\times 3.1415\times 10^{-2}\times 20$$

Multiply 2 and 3.1415 to get 6.283.

$$6.283\times 10^{-2}\times 20$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$6.283\times \frac{1}{100}\times 20$$

Multiply 6.283 and \frac{1}{100} to get \frac{6283}{100000}.

$$\frac{6283}{100000}\times 20$$

Multiply \frac{6283}{100000} and 20 to get \frac{6283}{5000}.

$$\frac{6283}{5000}$$

Factor

$$\frac{61 \cdot 103}{2 ^ {3} \cdot 5 ^ {4}} = 1\frac{1283}{5000} = 1.2566$$