Solve 2/5*5^3*5^2/2

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

Evaluate

$$5293955920339377119177015629247762262821197509765625$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{2}{5}\times \frac{5^{3\times 25}}{2}$$

Multiply 3 and 25 to get 75.

$$\frac{2}{5}\times \frac{5^{75}}{2}$$

Calculate 5 to the power of 75 and get 26469779601696885595885078146238811314105987548828125.

$$\frac{2}{5}\times \frac{26469779601696885595885078146238811314105987548828125}{2}$$

Multiply \frac{2}{5} and \frac{26469779601696885595885078146238811314105987548828125}{2} to get 5293955920339377119177015629247762262821197509765625.

$$5293955920339377119177015629247762262821197509765625$$

Factor

$$5^{74}$$