How do I simplify fractions with exponents?

[Aerospace93]

Homework Statement

(2^x+3^x)/6^x = 2^-x+3^-x

I've tried moving the 6 above, splitting it up and so... but i can't figure how to do it. It must be pretty simple, but I am just not seeing it. all helps appreciated!

 

[eumyang]

Homework Statement

(2^x+3^x)/6^x = 2^-x+3^-x

I've tried moving the 6 above, splitting it up and so... but i can't figure how to do it. It must be pretty simple, but I am just not seeing it. all helps appreciated!

Start by "splitting" the left side into two fractions, like this:
\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}

 

[Aerospace93]

i certainly did that

 

[Aerospace93]

(1/2)^x+(1/3)^x... which is the same as flipping them over and making the exponential -x. cool