지수법칙 계산

[출제의도] 지수법칙을 이용하여 식의 값을 구할 수 있는가? $\displaystyle ( - \sqrt{2} ) ^{4} \times 8 ^{- \frac{2}{3}}$$\displaystyle = \left( - 1 \right) ^{4} \times \left( 2 ^{\frac{1}{2}} \right) ^{4} \times \left( 2 ^{3} \right) ^{- \frac{2}{3}}$ $\displaystyle = 1 \times 2 ^{\frac{1}{2} \times 4} \times 2 ^{3 \times \left( - \frac{2}{3} \right)}$ $= 2 ^{2} \times 2 ^{- 2}$$= 2 ^{2 + \left( - 2 \right)}$$= 2 ^{0}$$= 1$