Question
Simplify the expression
a3
Evaluate
a6a21×a−12
Multiply
More Steps

Evaluate
a21×a−12
Multiply the terms with the same base by adding their exponents
a21−12
Subtract the numbers
a9
a6a9
Use the product rule aman=an−m to simplify the expression
a9−6
Solution
a3
Show Solution

Find the roots
a∈∅
Evaluate
a6a21×a−12
To find the roots of the expression,set the expression equal to 0
a6a21×a−12=0
Find the domain
More Steps

Evaluate
{a=0a6=0
The only way a power can not be 0 is when the base not equals 0
{a=0a=0
Find the intersection
a=0
a6a21×a−12=0,a=0
Calculate
a6a21×a−12=0
Multiply the terms
More Steps

Evaluate
a21×a−12
Use the product rule an×am=an+m to simplify the expression
a21−12
Subtract the numbers
a9
a6a9=0
Divide the terms
More Steps

Evaluate
a6a9
Use the product rule aman=an−m to simplify the expression
1a9−6
Simplify
a9−6
Divide the terms
a3
a3=0
The only way a power can be 0 is when the base equals 0
a=0
Check if the solution is in the defined range
a=0,a=0
Solution
a∈∅
Show Solution
