Solve 1/2*81^frac{3{4}}*36^frac{1{2}}=

$$\frac { 1 } { 2 } \cdot 81 ^ { \frac { 3 } { 4 } } \cdot 36 ^ { \frac { 1 } { 2 } } =$$

Evaluate

$$81$$

Solution Steps

Calculate 81 to the power of \frac{3}{4} and get 27.

$$\frac{1}{2}\times 27\times 36^{\frac{1}{2}}$$

Multiply \frac{1}{2} and 27 to get \frac{27}{2}.

$$\frac{27}{2}\times 36^{\frac{1}{2}}$$

Calculate 36 to the power of \frac{1}{2} and get 6.

$$\frac{27}{2}\times 6$$

Multiply \frac{27}{2} and 6 to get 81.

$$81$$

Factor

$$3^{4}$$