Question
Simplify the expression
a6
Evaluate
a−3a3
Use the product rule aman=an−m to simplify the expression
1a3−(−3)
Simplify
a3−(−3)
Solution
a6
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Find the roots
a∈∅
Evaluate
a−3a3
To find the roots of the expression,set the expression equal to 0
a−3a3=0
Find the domain
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Evaluate
{a=0a−3=0
Calculate
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Evaluate
a−3=0
Rearrange the terms
a31=0
Calculate
{1=0a3=0
The statement is true for any value of a
{a∈Ra3=0
The only way a power can not be 0 is when the base not equals 0
{a∈Ra=0
Find the intersection
a=0
{a=0a=0
Find the intersection
a=0
a−3a3=0,a=0
Calculate
a−3a3=0
Divide the terms
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Evaluate
a−3a3
Use the product rule aman=an−m to simplify the expression
1a3−(−3)
Simplify
a3−(−3)
Divide the terms
a6
a6=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
