Question

SOLVE THE QUESTION

Answer 1

\[X ^{X}+^{Y} =Y ^{3} AND Y ^{X}+^{Y} = X ^{6}Y ^{3}\]

Answer 2

THIR IS SPACE AFTER AND

Answer 3

AND X AND Y AREnatural numbers

Answer 4

@ganeshie8

Answer 5

Uh, what are we suppose to solve?

Answer 6

the value for y raise to the power x is equal to what

Answer 7

this must be sixth sense

Answer 8

\(\large X^{X+Y} =Y ^{3} \)

\(\large Y^{X+Y} = X ^{6}Y ^{3}\)

Answer 9

like that ?

Answer 10

I think ^

Answer 11

YUP

Answer 12

\(x=y=1\) is a tivial solution

Answer 13

i simple words ??????????????|

Answer 14

Yeah x = 1, y = 1

Answer 15

but how

Answer 16

\(x=y=1\) is an easy solution,
not sure if there can be other solutions also, if thre are no other solutions, we need to prove it as well ok

Answer 17

There can't be

Answer 18

but we have to find \[Y ^{X}\]

Answer 19

IS EQUAL TO WHAT

Answer 20

oh ok.. that simplifies a bit..

Answer 21

i tried this
\(y^(-x-y) × x^(x+y)=y^0x^6\)

Answer 22

ikam use {} for exponent..

Answer 23

-_-"

Answer 24

\(\Huge{x^{-x-y} y^{x+y}=x^6y^0}\)

Answer 25

DUDE YOU NEED TO EXPLAIN ME HOW YOU GOT THIS

Answer 26

divide the two equations

Answer 27

even thought if i explain this , the oly solution u
cud got is 1,1 (bye trial)
else wont work

Answer 28

but we need to find the value of \(y^x\),
not the actual solutions...

Answer 29

the answer is one 1

Answer 30

He just made them equal don, but that's not what we need

Answer 31

if we can prove that x=y=1 are the oly solutions possible,
then that also means that y^x = 1

so either way is fine

Answer 32

proof problem?

Answer 33

well why couldn't we just do that? x = 1 y =1 problem ended.

Answer 34

OK THE ANSWER IS Y^X = 1 GANESHIE8 HAS SAID IT!

Answer 35

Move on don, move on!

Answer 36

yes
ganeshi said than said no more queries

Answer 37

ive said it - but terms and conditions apply :)

Answer 38

you still need to prove, why other solutions dont exist ok

Answer 39

yes terms and conditions apply

Answer 40

like i said ganeshi said than ganeshie said

Answer 41

\(y^{x+y}=x^6(x^xx^y)\)
ughh no sense in any prove :o

Answer 42

*proof