Asked by thomas hennessy on May 20, 2024
Verified
ex+6ex\frac { e ^ { x + 6 } } { e ^ { x } }exex+6
A) 1+e6−x1 + e ^ { 6 - x }1+e6−x
B) e6e ^ { 6 }e6
C) e1+6xe^{1 + \frac { 6 } { x }}e1+x6
D) 1+e6x1 + e ^ { \frac { 6 } { x } }1+ex6
E) cannot be simplified
Simplified
Refers to a condition wherein a mathematical expression or equation has been reduced to its most basic or straightforward form.
- Derive and simplify expressions involving exponential functions.
Verified Answer
GW
Gavin WorlandMay 22, 2024
Final Answer :
B
Explanation :
The expression simplifies using the exponent rule ea/eb=ea−be^{a}/e^{b} = e^{a-b}ea/eb=ea−b , resulting in e(x+6)−x=e6e^{(x+6)-x} = e^{6}e(x+6)−x=e6 .
Learning Objectives
- Derive and simplify expressions involving exponential functions.