Exponents!

Algebra Level pending

1 2 3 4 5 6 7 8 = ? \Huge 1^{2^{3^{4^{5^{6^{7^{8}}}}}}} = \ ?


The answer is 1.

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24 solutions

Max B
May 8, 2014

1 raised to the power of any number equals to 1 itself. So the answer is simply 1 .

whatever its exponent if the base is 1,the answer is always 1.

Jessica Moreno - 6 years, 10 months ago

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agreed to your logic

Shreya Hembrom - 5 years, 8 months ago
Soham Dixit
May 8, 2014

Base is one. ' nuff said. :P

How will u solve it for any other base say 2

pooja hariharan - 6 years, 11 months ago

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Until I realized the base was 1, I was going to solve it by figuring 7 to the 8th power (5,764,801), then figuring 6 to 5764801st power. That result would be the exponent for 5, etc.

Jason Suited - 6 years, 9 months ago

1 raise to any positive real number to infinite positive real number is always 1 no matter how you have raised all its exponent repeatedly by any counting number

Mmk Majid khan
May 2, 2015

any power of 1 or any power to 1 is always equal to 1

Prokash Shakkhar
Sep 3, 2016

1^n means to multiply 1 'n' times.. so, 1 raised to the power of any number is equal to 1

Hassan Raza
Jul 30, 2014

1 2 3 4 5 6 7 8 = 1 B e c a u s e 1 × 1 × 1 × 1 × 1 × 1 × 1............. = 1 { { { { { { { 1 }^{ 2 } }^{ 3 } }^{ 4 } }^{ 5 } }^{ 6 } }^{ 7 } }^{ 8 }=1\\ Because\\ 1\times 1\times 1\times 1\times 1\times 1\times 1.............\infty =1

yes because those other numbers are exponets

Jacob Madore - 5 years, 8 months ago
Josh Speckman
May 8, 2014

Umm . . . the base is 1 1 , so the value is 1 1 , you derps.

Ha! I got it wrong!

Frodo Baggins - 7 years ago

Just apply your logic.1^any number would be 1 only

Anuj Shikarkhane - 6 years, 11 months ago

Did you uue it as 1 's power?I got it wrong

Ajin Thankachan - 6 years, 11 months ago
Dinesh Grover
Oct 9, 2015

1 raised to power anything is 1 only

Don Weingarten
Feb 3, 2019

1 raised to any power is 1. Could have gone on forever and it would still be 1.

Apply a rule 1 a = 0 1^a = 0 .

Nushrat Naushin
Jun 14, 2015

1... 1 having any power over it will give the answer equal to 1. Because no matter how many times we multiply 1 to 1 , we will get 1 .

Alice Elavia
Apr 26, 2015

Any exponent to one is one

Bharath Kumar Sai
Apr 21, 2015

1 to the power of anything is 1

1 raised to any real number is always equal to 1. except if 1 raised to infinity the answer is indeterminate.

if the power raised to one is even then one is positive otherwise it is negative

Liji Kj
Jan 6, 2015

(1)raised to anything=1

Luke Tan
Sep 18, 2014

It is obvious~

Deepthi Prakash
Aug 3, 2014

1square=1cube=1to the power of 4=1to the power of 5=1to the power of 6=1 to the power of 7=1to the power of 8 =ans 1

Aditta Nishad
Jul 23, 2014

1^anything=1

Not anything

if ( 1 ) 1 { (1) }^{ -1 } then what????

Hassan Raza - 6 years, 10 months ago

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( 1 ) 1 = 1 (1)^{-1} = 1

Tahmid Rafi - 6 years, 10 months ago
Zarif Hosain
Jul 21, 2014

1 raised to any value is 1 no matter how huge the value is therefore answer is 1

Not anything

if ( 1 ) 1 { (1) }^{ -1 } then what????

Hassan Raza - 6 years, 10 months ago

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It would still be 1 1

Josh Speckman - 6 years, 9 months ago
Kevin Patel
Jul 16, 2014

1 raise to anything gives 1...

Kim Lehi Alterado
Jul 14, 2014

The base says it all :)

Prince Mishra
Jul 8, 2014

ans is 1 because whatever will be the power of 1 ans will be 1

Scarlett Red
Jul 1, 2014

1 to the power of anything is 1.

I too got it wrong; what a silly question it is!!!!!!

Ariijit Dey - 6 years, 11 months ago

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