Let a , b , m , a, b, m, a , b , m , and n n n be natural numbers such that a > 1 a > 1 a > 1 and b > 1 b > 1 b > 1 . If a m b n = 1...

CAT Medium Surds & Indices MCQ

Question

Let

a, b, m,

and

n

be natural numbers such that

a > 1

and

b > 1

. If

a^m b^n = 144^{145}

, then the largest possible value of

n - m

is:

580

290

579

289

exponentsnatural numberscat 2023

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