Solve 5^25/4*1sqrt{9}

$${ 5 }^{ 2 } \frac{ 5 }{ 4 \times 1 \sqrt{ 9 } }$$

Evaluate

$$\frac{125}{12}\approx 10.416666667$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$25\times \frac{5}{1\times 4\sqrt{9}}$$

Multiply 1 and 4 to get 4.

$$25\times \frac{5}{4\sqrt{9}}$$

Calculate the square root of 9 and get 3.

$$25\times \frac{5}{4\times 3}$$

Multiply 4 and 3 to get 12.

$$25\times \frac{5}{12}$$

Express 25\times \frac{5}{12} as a single fraction.

$$\frac{25\times 5}{12}$$

Multiply 25 and 5 to get 125.

$$\frac{125}{12}$$

Factor

$$\frac{5 ^ {3}}{2 ^ {2} \cdot 3} = 10\frac{5}{12} = 10.416666666666666$$