Solve 5/4quad(11)^4/5quad(11)^2/3

$$\frac { 5 } { 4 } \quad ( 11 ) ^ { 4 } / 5 \quad ( 11 ) ^ { 2 } / 3$$

Evaluate

$$\frac{1771561}{12}\approx 147630.083333333$$

Solution Steps

Calculate 11 to the power of 4 and get 14641.

$$\frac{\frac{\frac{5}{4}\times 14641}{5}\times 11^{2}}{3}$$

Express \frac{5}{4}\times 14641 as a single fraction.

$$\frac{\frac{\frac{5\times 14641}{4}}{5}\times 11^{2}}{3}$$

Multiply 5 and 14641 to get 73205.

$$\frac{\frac{\frac{73205}{4}}{5}\times 11^{2}}{3}$$

Express \frac{\frac{73205}{4}}{5} as a single fraction.

$$\frac{\frac{73205}{4\times 5}\times 11^{2}}{3}$$

Multiply 4 and 5 to get 20.

$$\frac{\frac{73205}{20}\times 11^{2}}{3}$$

Reduce the fraction \frac{73205}{20} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{14641}{4}\times 11^{2}}{3}$$

Calculate 11 to the power of 2 and get 121.

$$\frac{\frac{14641}{4}\times 121}{3}$$

Express \frac{14641}{4}\times 121 as a single fraction.

$$\frac{\frac{14641\times 121}{4}}{3}$$

Multiply 14641 and 121 to get 1771561.

$$\frac{\frac{1771561}{4}}{3}$$

Express \frac{\frac{1771561}{4}}{3} as a single fraction.

$$\frac{1771561}{4\times 3}$$

Multiply 4 and 3 to get 12.

$$\frac{1771561}{12}$$

Factor

$$\frac{11 ^ {6}}{2 ^ {2} \cdot 3} = 147630\frac{1}{12} = 147630.08333333334$$