Question
Simplify the expression
72000000000k2∣k∣
Evaluate
3000k∣4000k∣×6000k
Calculate the absolute value
3000k×4000∣k∣×6000k
Multiply the terms
More Steps

Evaluate
3000×4000×6000
Multiply the terms
12000000×6000
Multiply the numbers
72000000000
72000000000k∣k∣×k
Solution
72000000000k2∣k∣
Show Solution

Find the roots
k=0
Evaluate
3000k∣4000k∣×6000k
To find the roots of the expression,set the expression equal to 0
3000k∣4000k∣×6000k=0
Calculate the absolute value
3000k×4000∣k∣×6000k=0
Multiply
More Steps

Multiply the terms
3000k×4000∣k∣×6000k
Multiply the terms
More Steps

Evaluate
3000×4000×6000
Multiply the terms
12000000×6000
Multiply the numbers
72000000000
72000000000k∣k∣×k
Multiply the terms
72000000000k2∣k∣
72000000000k2∣k∣=0
Elimination the left coefficient
k2∣k∣=0
Separate the equation into 2 possible cases
k2=0∣k∣=0
The only way a power can be 0 is when the base equals 0
k=0∣k∣=0
Solve the equation
k=0k=0
Solution
k=0
Show Solution
