Proving 2XZ=Y(X+Z) with A,B,X,Y,Z

[atotoarere]

HELLO,

prove that if, A raised to power X equal (AB) raised to power Y, equal

(AB rasied to power 2) rasied power Z . for the values of A and B,

then show that, 2XZ equal Y (X+Z).

 

[radou]

Try to play with the basic properties of exponents, and show us some work.

 

[HallsofIvy]

Do you mean
$$A^X= (AB)^Y= (AB)^{2Z}$$?

Is that supposed to be true for all X, Y, Z or for given X, Y, Z?