Question

which is the greatest 222^2, 22^22, 2^222

Answer 1

hey....

22*22 is greatest than all......

Answer 2

Given:

$222^{2} , 22^{22} , 2^{222}$

To Find:

The greatest amongst $222^{2} , 22^{22} , 2^{222}$

Solution:

The power of the base number determines the number of times the base number is required to be multiplied by itself

$x^{m}$ = $x * x * x * ...... * x$   ( x multiplied m times)

The base number is x, power is m.

For $222^{2}$,

base number = 222, power = 2

$222^{2}$ = $49284$ = $4.93*10^{4} (approx)$

For $22^{22}$,

base number = 22, power = 22

$22^{22} = 3.414 * 10^{29} (approx)$

For $2^{222}$,

base number = 2, power = 222

$2^{222}$ = $6.74 * 10^{66} (approx)$

We can determine that

$10^{66}$ > $10^{29}$ > $10^{4}$

Hence, the greatest is $2^{222}$