Solve 2/frac{4{10^4}}*5div10^3

$$\frac { 2 } { \frac { 4 } { 10 ^ { 4 } } } \times 5 \div 10 ^ { 3 }$$

Evaluate

$$25$$

Solution Steps

Divide 2 by \frac{4}{10^{4}} by multiplying 2 by the reciprocal of \frac{4}{10^{4}}.

$$\frac{\frac{2\times 10^{4}}{4}\times 5}{10^{3}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{\frac{2\times 10000}{4}\times 5}{10^{3}}$$

Multiply 2 and 10000 to get 20000.

$$\frac{\frac{20000}{4}\times 5}{10^{3}}$$

Divide 20000 by 4 to get 5000.

$$\frac{5000\times 5}{10^{3}}$$

Multiply 5000 and 5 to get 25000.

$$\frac{25000}{10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{25000}{1000}$$

Divide 25000 by 1000 to get 25.

$$25$$

Factor

$$5^{2}$$