Simplify the expression.
-$\mathrm { e } ^ { \ln x + \ln y }$
A) $x + y$
B) $e ^ { x } e ^ { y }$
C) $\ln x + \ln y$
D) $x y$

Name: Simplify the expression. -$\mathrm { e } ^ { \ln x + \ln y }$ A) $x + y$ B) $e ^ { x } e ^ { y }$ C) $\ln x + \ln y$ D) $x y$
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Question

Quizplus · Accepted Answer

Using the rule of logarithms, we can simplify the expression to $\mathrm{e}^{\ln(xy)}$. Then using the inverse property of logarithms, we have $\ln(\mathrm{e}^{\ln(xy)})=xy$, so the final answer is $xy$.

Simplify the Expression eln⁡x+ln⁡y\mathrm { e } ^ { \ln x + \ln y }elnx+lny

Simplify the Expression $\mathrm { e } ^ { \ln x + \ln y }$