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

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Hint:

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

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

continue...

Please share your work/thoughts with us.

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

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

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

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

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

Please mention next few stepsPlease follow the rules of submission at this forum - enunciated at:

## READ BEFORE POSTING

Welcome to FreeMathHelp.com! Please take the time to read the following before you make your first post. It will help you to get your math questions answered promptly and in the most helpful manner. A summary for students is available here. Don't post a list of homework problems. Please start...www.freemathhelp.com

Hint:

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

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

continue...

Please share your work/thoughts with us.

- Joined
- Jun 18, 2007

- Messages
- 18,470

Please mention next few steps

Look at response #3 -Please mention next few steps

what are your answers to those questions?81^{x}=125^{-y}⟹

81^{x}∗125^{y}= 1

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

Last edited:

Answer is 12xy=0Look at response #3 -

what are your answers to those questions?

There you go.Answer is 12xy=0