Solve 10^-3*2*10^11*5^2*10^-6*3.14/4*1.2

$$\frac { 10 ^ { - 3 } \times 2 \times 10 ^ { 11 } \times 5 ^ { 2 } \times 10 ^ { - 6 } \times 3.14 } { 4 \times 1.2 }$$

Evaluate

$$\frac{19625}{6}\approx 3270.833333333$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and 11 to get 8.

$$\frac{10^{8}\times 2\times 5^{2}\times 10^{-6}\times 3.14}{4\times 1.2}$$

To multiply powers of the same base, add their exponents. Add 8 and -6 to get 2.

$$\frac{10^{2}\times 2\times 5^{2}\times 3.14}{4\times 1.2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3.14\times 5^{2}\times 10^{2}}{1.2\times 2}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{3.14\times 25\times 10^{2}}{1.2\times 2}$$

Multiply 3.14 and 25 to get 78.5.

$$\frac{78.5\times 10^{2}}{1.2\times 2}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{78.5\times 100}{1.2\times 2}$$

Multiply 78.5 and 100 to get 7850.

$$\frac{7850}{1.2\times 2}$$

Multiply 1.2 and 2 to get 2.4.

$$\frac{7850}{2.4}$$

Expand \frac{7850}{2.4} by multiplying both numerator and the denominator by 10.

$$\frac{78500}{24}$$

Reduce the fraction \frac{78500}{24} to lowest terms by extracting and canceling out 4.

$$\frac{19625}{6}$$

Factor

$$\frac{157 \cdot 5 ^ {3}}{2 \cdot 3} = 3270\frac{5}{6} = 3270.8333333333335$$