How do you simplify $e^(3lnx - 2lny)$ ?

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Answer 1 · 2016-06-28T11:56:48

$x^3/y^2$ .

Use $ln a^n=n ln a, lnb-ln c= ln (b/c) and e^ln d=d$ .

Here,

$e^(3 ln x-2 ln y)$

$=e^(lnx^3-lny^2)$

$=e^ln(x^3/y^2)=x^3/y^2$ .

How do you simplify e^(3*ln*x - 2*ln*y)e^(3*ln*x - 2*ln*y)?