SOLUTION: Can you please help me with this simplification problem? I can't figure out how to get it started and I can't find any examples in my book that are similar to it. (7e^(-4x))*2e

Algebra.Com
Question 586632: Can you please help me with this simplification problem? I can't figure out how to get it started and I can't find any examples in my book that are similar to it.
(7e^(-4x))*2e^(2x)

Found 2 solutions by solver91311, eschwartz:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Just like multiplying any two factors where you have equal bases raised to a power. Add the exponents.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


Answer by eschwartz(9)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: (7e^(-4x))*2e^(2x) simplifies to 14*e^(-2*x)
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (7e^(-4x))*2e^(2x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around factor highlight_red%28+7+%29,highlight_red%28+e%5E%28-4%2Ax%29+%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+e%5E%28-4%2Ax%29+%29 to highlight_green%28+e%5E%28%28-4%2Ax%29%2B%282%2Ax%29%29+%29
It becomes .

Look at .
Remove unneeded parentheses around terms highlight_red%28+-4%2Ax+%29
It becomes .

Look at .
Remove unneeded parentheses around terms highlight_red%28+2%2Ax+%29
It becomes .

Look at .
Eliminated similar terms highlight_red%28+-4%2Ax+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%28-4%2B2%29%2Ax+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -2
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!

RELATED QUESTIONS

i really need help with this problem i cant seem to get it right i worked on this problem (answered by stanbon)
I start with a number, multiple it by 7 add 3 subtract it by 5 and divide by 4 and my... (answered by ewatrrr)
my question is this: v=(50t)/(t+5), solve of t. i can not seem to figure it out, my (answered by josmiceli)
Can you please help me figure this problem out. I tried and I just can't get it. 57% of... (answered by stanbon)
Please can you help me with this equation, I have tried but can't figure it out. The... (answered by fners)
I can't figure out the answer to this problem. Can you help?... (answered by jim_thompson5910)
I am trying to figure this problem out and I need some help with it. I am working with... (answered by josgarithmetic,macston,MathTherapy)
This is a word problem I am having trouble setting up. Please help! The oak street... (answered by stanbon,rapaljer)
Can you please help me with this problem- 2x-6y= 12 (answered by stanbon)