지수 계산

[출제의도] 지수법칙을 이용하여 계산한다. $\displaystyle 2 ^{\frac{1}{3}} \times 4 ^{\frac{1}{3}}$$\displaystyle = 2 ^{\frac{1}{3}} \times ( 2 ^{2} ) ^{\frac{1}{3}}$$\displaystyle = 2 ^{\frac{1}{3}} \times 2 ^{\frac{2}{3}}$$\displaystyle = 2 ^{\frac{1}{3} + \frac{2}{3}}$$= 2 ^{1} = 2$ [다른 풀이] $\displaystyle 2 ^{\frac{1}{3}} \times 4 ^{\frac{1}{3}}$$\displaystyle = \left( 2 \times 4 \right) ^{\frac{1}{3}} = 8 ^{\frac{1}{3}} = \left( 2 ^{3} \right) ^{\frac{1}{3}} = 2$