simple algebra

Algebra Level 1

If

n 2 = n 3 = n 4 \large n^2=n^3=n^4

and n is a positive integer, what is the value of n n ?


The answer is 1.

Jeff Chen by Jeff Chen , 21, Ukraine

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3 solutions

Caleb Cousins
Sep 24, 2015

What about 0?

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positive integer...

Chris White - 5 years, 8 months ago

its not a positive integer

Nikhil Mendiratta - 5 years, 8 months ago
Kannan Thangaraj
Jul 12, 2015

1^2=1^3=1^4=1

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It's easy. Just try n^2 = n^4 and you'll get n = n^2. Which gives you 1.

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