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# Is 8^200 < 5^300

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Is 8^200 < 5^300

Guest Aug 1, 2014

### Best Answer

#1
+85727
+13

Note that we can write 8^200 as (8^2)^100

And we can write  5^300 as (5^3)^100   .... so we have......

(8^2)^100   ???  (5^3)^100      ....and we can simplify this as......

(64)^100   ???  (125)^100

And it's obvious that ......

(64)^100  <  (125)^100

So....it's true

8^200 < 5^300  !!!!!!

CPhill  Aug 1, 2014
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### 1+0 Answers

#1
+85727
+13
Best Answer

Note that we can write 8^200 as (8^2)^100

And we can write  5^300 as (5^3)^100   .... so we have......

(8^2)^100   ???  (5^3)^100      ....and we can simplify this as......

(64)^100   ???  (125)^100

And it's obvious that ......

(64)^100  <  (125)^100

So....it's true

8^200 < 5^300  !!!!!!

CPhill  Aug 1, 2014

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