Solve 2.2*10^-3*(10*10^3)^2/2*10*2*100

$$\frac { 2.2 \times 10 ^ { - 3 } \times ( 10 \times 10 ^ { 3 } ) ^ { 2 } } { 2 \times 10 \times 2 \times 100 }$$

Evaluate

$$55$$

Solution Steps

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

$$\frac{2.2\times 10^{-3}\times \left(10^{4}\right)^{2}}{2\times 10\times 2\times 100}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$\frac{2.2\times 10^{-3}\times 10^{8}}{2\times 10\times 2\times 100}$$

To multiply powers of the same base, add their exponents. Add -3 and 8 to get 5.

$$\frac{2.2\times 10^{5}}{2\times 10\times 2\times 100}$$

Cancel out 10 in both numerator and denominator.

$$\frac{2.2\times 10^{4}}{2\times 2\times 100}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{2.2\times 10000}{2\times 2\times 100}$$

Multiply 2.2 and 10000 to get 22000.

$$\frac{22000}{2\times 2\times 100}$$

Multiply 2 and 2 to get 4.

$$\frac{22000}{4\times 100}$$

Multiply 4 and 100 to get 400.

$$\frac{22000}{400}$$

Divide 22000 by 400 to get 55.

$$55$$

Factor

$$5\times 11$$