Question

Without calculating , find which is greater:
31^11 or 17^14

Answer 1

@mukushla

Answer 2

which is greater 2^4 or 3^3

Answer 3

3^3

Answer 4

so 31^11 is greater

Answer 5

i have a 50:50 chance im right

Answer 6

Base will decide who is greater ???

Answer 7

*which

Answer 8

my metaphor decided

Answer 9

31^11

Answer 10

now im depnding on probability to hope im right

Answer 11

unlucky Lgba

Answer 12

because i will be seriously screwed if i wasn't

Answer 13

Which is greater 2^4 or 3^2 ??

Answer 14

i guess power works

Answer 15

2^4

Answer 16

No both base and power will work I think..

Answer 17

i still stand by my metaphor

Answer 18

I was asking lgba for his probability conclusion..

Answer 19

i have a 50:50 chance..if i change i'll be a victim of monty hall's principle

Answer 20

And what that principle says I don't know @lgbasallote

Answer 21

well the answer is 17^14

Answer 22

yes....

Answer 23

The question is how @ghazi

Answer 24

close fight

Answer 25

calculator ...lol

Answer 26

i think i now know o.O

Answer 27

Without calculating you need the answer..

Answer 28

no..nevermind

Answer 29

how sure are we there was even any way?

Answer 30

got the answer..guys ait i can do it

Answer 31

*wait

Answer 32

\[\frac{17^{14}}{31^{11}}>\frac{17^{14}}{34^{11}}=(\frac{1}{2})^{11}17^3>(\frac{1}{2})^{11}(2^4)^3=\frac{2^{12}}{2^{11}}=2\]

Answer 33

i got it.
just compared with the powers of 2

Answer 34

divide both the numbers by (17)^11

Answer 35

but you're not allowed to calculate...

Answer 36

you can't do any math according to the instructions..you can just use critical thinking

Answer 37

you'll have (2)^11 and (17)^3 so obviously (17)^3 is bigger

Answer 38

Wow @mukushla great benim yoldashim...

Answer 39

\[\frac{ (31)^{11} }{ (17^{11}) }<\frac{ (17)^{14} }{ (17)^{11} }\]

Answer 40

\[(1.83)^{11}<(17)^{3}\]

Answer 41

1.83^11=let's say 2^11=2048 and 17^3=4193...proved