Question

order
the
following
from
least
the
greatest
16^25,8^100,3^500,4^400,2^600​

Answer 1

Increasing order of the given numbers will be $16^{25},8^{100},4^{400},2^{600},3^{500}$.

Step-by-step explanation:

Given numbers are $16^{25},8^{100},3^{500},4^{400},2^{600}$.

We have to arrange these numbers in increasing order.

We can rewrite the numbers as

1). $16^{25}$ = $16^{\frac{25\times 4}{4}}$ = $[(16)^{\frac{1}{4}}]^{100}$ = $2^{100}$

2). $8^{100}$

3). $3^{500}=[(3)^{5}]^{100}=(243)^{100}$

4). $4^{400}=[(4)^{4}]^{100}=(16)^{100}$

5). $2^{600}=[2^{6}]^{100}=(64)^{100}$

Now the increasing order of these numbers will be $16^{25},8^{100},4^{400},2^{600},3^{500}$.

Learn more about the increasing orders from https://brainly.in/question/11965624

Answer 2

Answer:

this is ans hope it helps