지수 조건 식의 값

[출제의도] 지수법칙을 활용하여 문제해결하기 $2 ^{ab + a + b}$$= \left( 2 ^{a} \right) ^{b} \times 2 ^{a} \times 2 ^{b}$ $= 3 ^{b} \times 3 \times 2 ^{b}$ $= \left( 3 \times 2 \right) ^{b} \times 3$ $= 5 \times 3 = 15$ [다른 풀이] $6 ^{b} = \left( 2 \times 3 \right) ^{b} = \left( 2 \times 2 ^{a} \right) ^{b} = 2 ^{ab + b}$ $2 ^{ab + a + b} = 2 ^{ab + b} \times 2 ^{a} = 6 ^{b} \times 2 ^{a} = 5 \times 3 = 15$