we are given
[tex]\frac{6^a6^a}{36^b} =36^x[/tex]
now, we can use property of exponent
[tex]m^p *m^p=(m)^{2p}[/tex]
so, we can write as
[tex]6^a *6^a=(6)^{a+a}[/tex]
[tex]6^a *6^a=6^{2a}[/tex]
[tex]6^a *6^a=(6^{2})^a[/tex]
[tex]6^a *6^a=(36)^a[/tex]
now, we can plug back
[tex]\frac{36^a}{36^b} =36^x[/tex]
we can use property of exponent as
[tex]\frac{w^m}{w^n} =w^{m-n}[/tex]
we can write as
[tex]36^{a-b} =36^x[/tex]
now, we can compare both sides exponents
and we will get
[tex]x =a-b[/tex]................Answer
