find for 12xy

debos

New member
if (81)^x=1/((125)^y) and x,y are integers then find the value of 12xy.

Subhotosh Khan

Super Moderator
Staff member
if (81)^x=1/((125)^y) and x,y are integers then find the value of 12xy.
Please follow the rules of submission at this forum - enunciated at:

Hint:

(81)^x=1/((125)^y)

(3)^(4x) = (5)^(-3y)

continue...

JeffM

Elite Member
This is the second time that you have been asked to read the submission guidelines. Please do so before starting any new threads.

I did not find Subhotosh's hint penetrated my frequently dim, and certainly insufficiently caffeinated, mind. So here is a different hint.

$$\displaystyle 81^x = \dfrac{1}{125^y} \implies 81^x * 125^y = 1.$$

Can x and y both be positive integers? Can they both be negative integers? Proceed

Subhotosh Khan

Super Moderator
Staff member
This is the second time that you have been asked to read the submission guidelines. Please do so before starting any new threads.

I did not find Subhotosh's hint penetrated my frequently dim, and certainly insufficiently caffeinated, mind. So here is a different hint.

$$\displaystyle 81^x = \dfrac{1}{125^y} \implies 81^x * 125^y = 1.$$

Can x and y both be positive integers? Can they both be negative integers? Proceed
I think you and I were going for the same conclusion. I am waiting for OP's response!

JeffM

Elite Member
I think you and I were going for the same conclusion. I am waiting for OP's response!
Subhotosh

We undoubtedly were, but the point of your hint was not obvious to me until I had pursued mine a while.

debos

New member
Please follow the rules of submission at this forum - enunciated at:

Hint:

(81)^x=1/((125)^y)

(3)^(4x) = (5)^(-3y)

continue...

Subhotosh Khan

Super Moderator
Staff member
Look at response #3 -

81x=125-y

81x∗125y = 1

Can x and y both be positive integers? Can they both be negative integers? Proceed

Last edited:

debos

New member
Look at response #3 -