Solve 1/2*{36}^frac{1{2}}+2*{36}^left(-frac{1{2right)}^}

$$\frac{ 1 }{ 2 } \times { 36 }^{ \frac{ 1 }{ 2 } } +2 \times { 36 }^{ { \left(- \frac{ 1 }{ 2 } \right) }^{ } }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

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

$$\frac{1}{2}\times 6+2\times 36^{\left(-\frac{1}{2}\right)^{1}}$$

Multiply \frac{1}{2} and 6 to get 3.

$$3+2\times 36^{\left(-\frac{1}{2}\right)^{1}}$$

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

$$3+2\times 36^{-\frac{1}{2}}$$

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

$$3+2\times \frac{1}{6}$$

Multiply 2 and \frac{1}{6} to get \frac{1}{3}.

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

Add 3 and \frac{1}{3} to get \frac{10}{3}.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$