Question
Simplify the expression
21
Alternative Form
0.5
Evaluate
ex×2e−x
Divide the terms
More Steps

Evaluate
2e−x
Express with a positive exponent using a−n=an1
2ex1
Multiply by the reciprocal
ex1×21
Multiply the terms
ex×21
Multiply the terms
2ex1
ex×2ex1
Cancel out the common factor ex
1×21
Solution
21
Alternative Form
0.5
Show Solution

Find the roots
x∈∅
Evaluate
ex×2e−x
To find the roots of the expression,set the expression equal to 0
ex×2e−x=0
Divide the terms
More Steps

Evaluate
2e−x
Express with a positive exponent using a−n=an1
2ex1
Multiply by the reciprocal
ex1×21
Multiply the terms
ex×21
Multiply the terms
2ex1
ex×2ex1=0
Multiply the terms
More Steps

Multiply the terms
ex×2ex1
Cancel out the common factor ex
1×21
Multiply the terms
21
21=0
Multiply both sides of the equation by LCD
21×2=0×2
Simplify the equation
1=0×2
Any expression multiplied by 0 equals 0
1=0
Solution
x∈∅
Show Solution
