Solve (11^frac{1{2}})^12*11^9*sqrt{9}

$$( 11 ^ { \frac { 1 } { 2 } } ) ^ { 12 } \times 11 ^ { 9 } \times \sqrt { 9 }$$

Evaluate

$$12531744508246953$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply \frac{1}{2} and 12 to get 6.

$$11^{6}\times 11^{9}\sqrt{9}$$

To multiply powers of the same base, add their exponents. Add 6 and 9 to get 15.

$$11^{15}\sqrt{9}$$

Calculate 11 to the power of 15 and get 4177248169415651.

$$4177248169415651\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$4177248169415651\times 3$$

Multiply 4177248169415651 and 3 to get 12531744508246953.

$$12531744508246953$$

Factor

$$3\times 11^{15}$$