Răspuns:
Explicație pas cu pas:
a = [(2^12 : 2^4 * 2^12)^2 : 2^32]^6 : 2^46
= [(2^20)^2 : 2^32]^6 : 2^46
= (2^40 : 2^32)^6 : 2^46
= (2^8)^6 : 2^46
= 2^48 : 2^46
= 2^2 = 4, numar natural
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b = [(3/2)^30 : (2/3)^24 *(3/2)^4]^4 : (3/2)^38 *4
= [(3/2)^30 : (3/2)^-24 *(3/2)^4]^4 : (3/2)^38 *4
= [(3/2)^10]^4 : (3/2)^38 *4
= (3/2)^40 : (3/2)^38 *4
= (3/2)^2 *4
= 9/4 *4
= 9, numar natural
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a^b = 4^9 = (2^2)^9 = (2^9)^2 patrat perfect
b^a = 9^4 = (9^2)^2 patrat perfect
