Solve (3^frac{11{12}})^frac{2{3}}

$$( 3 ^ { \frac { 11 } { 12 } } ) ^ { \frac { 2 } { 3 } }$$

Evaluate

$$3^{\frac{11}{18}}\approx 1.956924633$$

Steps for Raising Power to Another Power

Use the rules of exponents to simplify the expression.

$$\left(3^{\frac{11}{12}}\right)^{\frac{2}{3}}$$

To raise a power to another power, multiply the exponents.

$$3^{\frac{11}{12}\times \frac{2}{3}}$$

Multiply \frac{11}{12} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$3^{\frac{11}{18}}$$