Let ‘*’ and ‘^’ be two binary operations such that a*b=a^2 b and a ^ b = 2a+b. Find (2*3) ^ (6*7).

Let ‘*’ and ‘^’ be two binary operations such that a*b=a^2 b and a ^ b = 2a+b. Find (2*3) ^ (6*7).

(a) 256

(b) 286

(c) 276

(d) 275

The question was posed to me in an internship interview.

Question is taken from Binary Operations topic in section Relations and Functions of Mathematics – Class 12

1 Answer

Let ‘’ and ‘^’ be two binary operations such that ab=a^2 b and a ^ b = 2a+b. Find (23) ^ (67).

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