a^b > b^a is true, if a = 3 and b = 4; but false, if a = 2 and b = 3

Solution:

It is given that

a^b > b^a

If a = 3 and b = 4

3⁴ > 4³

So we get

81 > 64 which is true

If a = 2 and b = 3

2³ > 3²

So we get

8 > 9 which is false

Therefore, the given statement is true.

✦ Try This: a^b > b^a is true, if a = 5 and b = 6; but false, if a = 3 and b = 4

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

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NCERT Exemplar Class 7 Maths Chapter 11 Sample Problem 8

a^b > b^a is true, if a = 3 and b = 4; but false, if a = 2 and b = 3

Summary:

The given statement “a^b > b^a is true, if a = 3 and b = 4; but false, if a = 2 and b = 3”

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