Solve frac{27^frac{5{6}}}{27^frac{7{6}}}

$$\frac { 27 ^ { \frac { 5 } { 6 } } } { 27 ^ { \frac { 7 } { 6 } } }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Rewrite 27^{\frac{7}{6}} as 27^{\frac{5}{6}}\times 27^{\frac{1}{3}}. Cancel out 27^{\frac{5}{6}} in both numerator and denominator.

$$\frac{1}{27^{\frac{1}{3}}}$$

Calculate 27 to the power of \frac{1}{3} and get 3.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$