Question

find the greatest among the following numbers:2²⁵⁰,3²⁰⁰,4¹⁵⁰,5¹⁰⁰​

Answer 1

In most easiest way we will cancel the number on tens place of every indices…..

For eg;

50 will become 5 when zero is cancelled.

40 will become 4 when zero is cancelled.

30 will become 3 when zero is cancelled.

20 will become 2 when zero is cancelled..

I hope you must have understood above part…

So our numbers are now:

2⁵,3⁴,4³,5²

Lets solve all….

2^5 = 2×2×2×2×2 = 32

3^4 = 3×3×3×3 = 81

4^3 = 4×4×4 = 64

4. 5^2 = 5×5 = 25.

So greater among all these is 3^40 as per above table…….

3^4 > 4^3 > 2^5 > 5^2 ✓

Go for it…!

Answer 2

$\color{aqua}answer : -$

${4}^{150}$

hope it helps... :)