Question

Prove: [(aˣ)y(ay)ˣ]z=a²ˣyz(x,y,z ∈ Q)

Answer 1

Answer:

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Answer 2

Answer:

It has been prove that:

$[(a^x)y(ay)^x]z=a^{2x}\,y^{x+1}\,z$

Step-by-step explanation:

Given equation is:

$[(a^x)y(ay)^x]z=a^{2x}y^{x+1}z$

L.H.S

$[(a^x)y(ay)^x]z$

$=[(a^x)y(a^xy^x)]z$

$=[a^x\cdot y\cdot a^x\cdot y^x]z$

$=[a^{x^2}\cdot y^{x+1}]z$

$=a^{2x}\,y^{x+1}\,z$

=R.H.S