Solve (frac{sqrt{625*5^2}}{25*125})=

$$( \frac { \sqrt { 625 \cdot 5 ^ { 2 } } } { 25 \cdot 125 } ) =$$

Evaluate

$$\frac{1}{25}=0.04$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{\sqrt{625\times 25}}{25\times 125}$$

Multiply 625 and 25 to get 15625.

$$\frac{\sqrt{15625}}{25\times 125}$$

Calculate the square root of 15625 and get 125.

$$\frac{125}{25\times 125}$$

Multiply 25 and 125 to get 3125.

$$\frac{125}{3125}$$

Reduce the fraction \frac{125}{3125} to lowest terms by extracting and canceling out 125.

$$\frac{1}{25}$$

Factor

$$\frac{1}{5 ^ {2}} = 0.04$$