Solve 1,5*10^7:3*10^2/2,5*10^-3=

$$\frac { 1,5 \cdot 10 ^ { 7 } : 3 \cdot 10 ^ { 2 } } { 2,5 \cdot 10 ^ { - 3 } } =$$

Evaluate

$$200000000000$$

Solution Steps

Calculate 10 to the power of 7 and get 10000000.

$$\frac{\frac{1,5\times 10000000}{3}\times 10^{2}}{2,5\times 10^{-3}}$$

Multiply 1,5 and 10000000 to get 15000000.

$$\frac{\frac{15000000}{3}\times 10^{2}}{2,5\times 10^{-3}}$$

Divide 15000000 by 3 to get 5000000.

$$\frac{5000000\times 10^{2}}{2,5\times 10^{-3}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{5000000\times 100}{2,5\times 10^{-3}}$$

Multiply 5000000 and 100 to get 500000000.

$$\frac{500000000}{2,5\times 10^{-3}}$$

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

$$\frac{500000000}{2,5\times \frac{1}{1000}}$$

Multiply 2,5 and \frac{1}{1000} to get \frac{1}{400}.

$$\frac{500000000}{\frac{1}{400}}$$

Divide 500000000 by \frac{1}{400} by multiplying 500000000 by the reciprocal of \frac{1}{400}.

$$500000000\times 400$$

Multiply 500000000 and 400 to get 200000000000.

$$200000000000$$

Factor

$$2^{12}\times 5^{11}$$