Question

Which of these is greater: 200^300 300^200 100^400 50^500?

Answer 1

Answer:

500

Step-by-step explanation:

Answer 2

Answer:

Just convert them all to the same power.

We know that

X^(mn) =X^m^n

So by applying this

200^300

=200^3^100

=(8,000,000) ^100-----------@

300^200

=300^2^100

=90,000^100--------------@

100^400

=100^4^100

=100,000,000^100----------@

50^500

=50^5^100

=312,500,000^100----------@

Since the power of all the four are same we can compare the base

312,500,000 greatest among all

Therefore 50^500 is the greater number