지수법칙 계산

[출제의도] 지수법칙을 이용하여 계산할 수 있는가? $\displaystyle \left( \frac{4}{2 ^{\sqrt{2}}} \right) ^{2 + \sqrt{2}}$$\displaystyle = \left( 2 ^{2} \div 2 ^{\sqrt{2}} \right) ^{2 + \sqrt{2}}$$\displaystyle = \left( 2 ^{2 - \sqrt{2}} \right) ^{2 + \sqrt{2}}$$\displaystyle = 2 ^{\left( 2 - \sqrt{2} \right) \left( 2 + \sqrt{2} \right)}$ $= 2 ^{2}$$= 4$