An algebra problem by Saarisht Thaman

Algebra Level 1

Which of the values in the answer choices is the largest?

1 1 11 11^{ 11 } 1111 1111 1 + 1 + 1 + 1 1+1+1+1 1 111 1^{ 111 }

Saarisht Thaman by Saarisht Thaman , 24, India

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3 solutions

Munem Shahriar
Jun 30, 2017

1 + 1 + 1 + 1 = 4 1 + 1 + 1 + 1 = 4

1 111 = 1 1^{111} = 1

1111 = 1111 1111 = 1111

1 1 11 > 1 1 3 = 1331 11^{11} > 11^{3} = 1331

Therefore 1 1 11 11^{11} is the greatest answer.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Consider the first number: 1 111 = 1 1^{111}=1

Consider the second number: 4 4

Consider the third number: 1 1 11 > 1 1 3 = 1331 11^{11}>11^3=1331

1331 1331 is way larger than 1111 1111 . therefore, 1 1 11 \boxed{11^{11}} is the largest, but 1111 ! 1111! is way bigger!

1 Helpful 0 Interesting 0 Brilliant 0 Confused

'You said consider the second number 4 4 ' but the second number is 1111 1111 . So it's good to change it to 'consider the fourth number' which is 1 + 1 + 1 + 1 = 4 1 + 1 + 1 + 1 = 4

Munem Shahriar - 3 years, 11 months ago

E v e n 1 1 3 = 1331. 1 a n y n u m b e r = 1. ∴ 1 1 11 i s t h e g r e a t e s t . Even ~11^3=1331. ~~ ~~~~1^{any ~number}=1.~~\therefore ~~11^{11} ~~is ~~the ~~greatest.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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