Confusing

Algebra Level 3

1 2 3 3 2 3 … 3 = x \Huge { 1 }_{ { 2 }_{ { { 3 } } }^{ { { 3 } } } }^{ { 2 }_{ { { 3 }_{ \ldots }}}^{ { { 3 } } } }=x

The diagram above shows a series of infinitely nested numbers with different powers and bases.

Find x x .


The answer is 1.

Lee Care Gene by Lee Care Gene , 20, Malaysia

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2 solutions

Because in every numberbase 0 will be 0, and 1 will be 1. And 1 n 1^n always = 1 =1 .

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Hanif Adzkiya
Mar 2, 2016

It's simple 1^n is always equal to 1 :)

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