Question 863300
<pre>
We will use the identities

(1)     {{{a^(b+c+d)=a^b*a^c*a^d}}}

(2)     {{{e^ln(A)=A}}}

(3)     {{{ln(a^b)=b*ln(a)}}}

{{{e^(6-6*ln(x)+ln(y))}}}

Use (1)

{{{e^6*e^(-6*ln(x))*e^ln(y))}}}

Use (2) on the third factor:

{{{e^6*e^(-6*ln(x))*y)}}}

Use (3) on the exponent of the second factor:

{{{matrix(2,1,"",e^6*e^(ln(x^(-6)))*y)}}}

Use (2) on the second factor:

{{{e^6*x^(-6)*y)}}}

That doesn't contain a logarithm, so it would do.
Maybe you might want to go further and get rid of the
negative exponent:

{{{e^6*y/x^6)}}}

Edwin</pre>