Solve frac{3sqrt[3]{5^6}}{4sqrt{25}}

$$\frac { 3 \sqrt[ 3 ] { 5 ^ { 6 } } } { 4 \sqrt { 25 } }$$

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Calculate 5 to the power of 6 and get 15625.

$$\frac{3\sqrt[3]{15625}}{4\sqrt{25}}$$

Calculate \sqrt[3]{15625} and get 25.

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

Multiply 3 and 25 to get 75.

$$\frac{75}{4\sqrt{25}}$$

Calculate the square root of 25 and get 5.

$$\frac{75}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{75}{20}$$

Reduce the fraction \frac{75}{20} to lowest terms by extracting and canceling out 5.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$