Consider the following functions for non-zero positive integers, p and q. f(p, q)=\frac{p \times p \times p \times . . . . . . \times p}{q \text{ terms }}=p^q ; ; f(p, 1)=p g(p, q)=p^{p^{p^{p^{p^{{..}^{{..}^{.. \upto \q \terms}}} } }}} ; {\g}( {\p}, 1)= {\p} Which one of the following options is correct based on the above?

Correct Answer is : f(2, 2) = g(2, 2)

GATE Mechanical Engineering (ME) 2022 Shift 2 Solved Paper

Question : 8 of 65

Marks: +1, -0

Consider the following functions for non-zero positive integers, p and q.

f(p, q)=\;{p × p × p × . . . . . . × p}/{q \;\text " terms "\;}=p^q ; ; f(p, 1)=p

g(p, q)=p^{p^{p^{p^{p^{{..}^{{..}^{.. \upto \q \terms}}} } }}} ; {\g}( {\p}, 1)= {\p}

Which one of the following options is correct based on the above?

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