Solve 2*10*1,8*10^8/3*10^8*0,001

$$\frac { 2 \times 10 \times 1,8 \times 10 ^ { 8 } } { 3 \times 10 ^ { 8 } \times 0,001 }$$

Evaluate

$$12000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 8 to get 9.

$$\frac{2\times 10^{9}\times 1,8}{3\times 10^{8}\times 0,001}$$

Cancel out 10^{8} in both numerator and denominator.

$$\frac{1,8\times 2\times 10}{0,001\times 3}$$

Multiply 1,8 and 2 to get 3,6.

$$\frac{3,6\times 10}{0,001\times 3}$$

Multiply 3,6 and 10 to get 36.

$$\frac{36}{0,001\times 3}$$

Multiply 0,001 and 3 to get 0,003.

$$\frac{36}{0,003}$$

Expand \frac{36}{0,003} by multiplying both numerator and the denominator by 1000.

$$\frac{36000}{3}$$

Divide 36000 by 3 to get 12000.

$$12000$$

Factor

$$3\times 2^{5}\times 5^{3}$$