Question

If p^q= q^p then find p^3+ q^3, where p and q are distinct natural numbers.
(A) 72
(B) 152
(C) 208
(D) 728
(E) None of these

Answer 1

Answer:

72

Step-by-step explanation:

p=2,q=4

guess and find the value of p and q

Answer 2

Answer:

Option (A)

p^3+ q^3 = 72

Step-by-step explanation:

Given p^q= q^p

Here the values of p and q which satisfy the given equation are p = 2, q = 4

2^4 = 4^2

16 = 16

therefore  p = 2 and q = 4 and are distinct natural numbers..

p^3+ q^3 = 2^3 + 4^3

p^3+ q^3  = 8 + 64

p^3+ q^3 = 72

therefore the value of p^3+ q^3 = 72.

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