Question
Simplify the expression
100100e−379b
Evaluate
e−(1516×400b)
Multiply the terms
More Steps

Multiply the terms
1516×400b
Cancel out the common factor 4
379×100b
Multiply the terms
100379b
e−100379b
Reduce fractions to a common denominator
100e×100−100379b
Write all numerators above the common denominator
100e×100−379b
Solution
100100e−379b
Show Solution

Find the roots
b=379100e
Alternative Form
b≈0.717225
Evaluate
e−(1516×400b)
To find the roots of the expression,set the expression equal to 0
e−(1516×400b)=0
Multiply the terms
More Steps

Multiply the terms
1516×400b
Cancel out the common factor 4
379×100b
Multiply the terms
100379b
e−100379b=0
Subtract the terms
More Steps

Simplify
e−100379b
Reduce fractions to a common denominator
100e×100−100379b
Write all numerators above the common denominator
100e×100−379b
Use the commutative property to reorder the terms
100100e−379b
100100e−379b=0
Simplify
100e−379b=0
Move the constant to the right side
−379b=0−100e
Removing 0 doesn't change the value,so remove it from the expression
−379b=−100e
Change the signs on both sides of the equation
379b=100e
Divide both sides
379379b=379100e
Solution
b=379100e
Alternative Form
b≈0.717225
Show Solution
