Solve =5*10^-3*(2*3.1416*7/1)^2*2

$$= 5 \times 10 ^ { - 3 } \times ( \frac { 2 \times 3.1416 \times 7 } { 1 } ) ^ { 2 } \times 2$$

Evaluate

$$19.3445150976$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$5\times \frac{1}{1000}\times \left(\frac{2\times 3.1416\times 7}{1}\right)^{2}\times 2$$

Multiply 5 and \frac{1}{1000} to get \frac{1}{200}.

$$\frac{1}{200}\times \left(\frac{2\times 3.1416\times 7}{1}\right)^{2}\times 2$$

Multiply 2 and 3.1416 to get 6.2832.

$$\frac{1}{200}\times \left(\frac{6.2832\times 7}{1}\right)^{2}\times 2$$

Multiply 6.2832 and 7 to get 43.9824.

$$\frac{1}{200}\times \left(\frac{43.9824}{1}\right)^{2}\times 2$$

Anything divided by one gives itself.

$$\frac{1}{200}\times 43.9824^{2}\times 2$$

Calculate 43.9824 to the power of 2 and get 1934.45150976.

$$\frac{1}{200}\times 1934.45150976\times 2$$

Multiply \frac{1}{200} and 1934.45150976 to get \frac{755645121}{78125000}.

$$\frac{755645121}{78125000}\times 2$$

Multiply \frac{755645121}{78125000} and 2 to get \frac{755645121}{39062500}.

$$\frac{755645121}{39062500}$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {4} \cdot 11 ^ {2} \cdot 17 ^ {2}}{2 ^ {2} \cdot 5 ^ {10}} = 19\frac{13457621}{39062500} = 19.3445150976$$