Question

find the greater between the two no 2²⁵ and 4¹⁴​

Answer 1

Step-by-step explanation:

Given :-

2^25 and 4^14

To find :-

Which is greater ?

Solution:-

Given two numbersers are 2^25 and 4^14

First number = 2^25

Second number = 4^14

4 = 2×2 = 2^2

=> 4^14

=> (2^2)^14

It is in the form of (a^m)^n

Where a = 2 ,m = 2 , n = 14

We know that

(a^m)^n = a^(mn)

=>(2^2)^14

=> 2^(2×14)

=> 2^28

Therefore, 4^14 = 2^28

It is clear that

2^25 < 2^28

2^25 < 4^14

2^28 > 2^25

4^14 > 2^25

Answer:-

4^14 is greater than 2^25

Used Concept:-

Converting the given numbers as the numbers with same base and then comparing them easily .

Answer 2

Step-by-step explanation:

the greater number among the 2^25 and 4^14 is 4^14 that is 268435456