Yibuphi ubufakazi bokuthi kunezinombolo ezimbili ezingenangqondo lapho ukukhuphula enye ibe amandla enye kukhiqiza inombolo enengqondo?
Nasi isiqinisekiso sokuthi kunezinombolo ezimbili ezingezona ezinengqondo u-a no-b okungukuthi u-a^b unengqondo. Okokuqala, cabanga ngokuthi a = b = sqrt ((2). Khumbula ukuthi i-sqrt ((2) iyinombolo engaqondakali, ngakho uma i-a^b = sqrt ((2) ^ sqrt ((2) iyinombolo enengqondo, sesiphelile ngoba sithole i-a no-b engaqondakali i-a^b iyinombolo enengqondo. Ngaphandle kwalokho, sqrt(2) ^ sqrt(2) akulona iqiniso. Ake sithi a = sqrt(2) ^ sqrt(2) futhi b = sqrt(2). Khona-ke a ^ b = (sqrt ((2) ^ sqrt ((2)) ^ sqrt ((2) = sqrt ((2) ^ (sqrt ((2) * sqrt ((2)) = sqrt ((2) ^ 2 = 2, okuyinto okunengqondo. Ngakho noma ngabe yikuphi, singathola i-a ne-b engeyona enengqondo kanti i-a^b inengqondo.