Solve 6*10^3div3*10^2/2.1*10^3-20.9*10^2

$$\frac { 6 \times 10 ^ { 3 } \div 3 \times 10 ^ { 2 } } { 2.1 \times 10 ^ { 3 } - 20.9 \times 10 ^ { 2 } }$$

Evaluate

$$20000$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{\frac{6\times 1000}{3}\times 10^{2}}{2.1\times 10^{3}-20.9\times 10^{2}}$$

Multiply 6 and 1000 to get 6000.

$$\frac{\frac{6000}{3}\times 10^{2}}{2.1\times 10^{3}-20.9\times 10^{2}}$$

Divide 6000 by 3 to get 2000.

$$\frac{2000\times 10^{2}}{2.1\times 10^{3}-20.9\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{2000\times 100}{2.1\times 10^{3}-20.9\times 10^{2}}$$

Multiply 2000 and 100 to get 200000.

$$\frac{200000}{2.1\times 10^{3}-20.9\times 10^{2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{200000}{2.1\times 1000-20.9\times 10^{2}}$$

Multiply 2.1 and 1000 to get 2100.

$$\frac{200000}{2100-20.9\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{200000}{2100-20.9\times 100}$$

Multiply 20.9 and 100 to get 2090.

$$\frac{200000}{2100-2090}$$

Subtract 2090 from 2100 to get 10.

$$\frac{200000}{10}$$

Divide 200000 by 10 to get 20000.

$$20000$$

Factor

$$2^{5}\times 5^{4}$$