Question
Simplify the expression
a20
Evaluate
(a3)2÷a−14
Multiply the exponents
a3×2÷a−14
Dividing by an is the same as multiplying by a−n
a3×2×a14
Multiply the numbers
a6×a14
Use the product rule an×am=an+m to simplify the expression
a6+14
Solution
a20
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Find the roots
a∈∅
Evaluate
(a3)2÷a−14
To find the roots of the expression,set the expression equal to 0
(a3)2÷a−14=0
Find the domain
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Evaluate
{a=0a−14=0
Calculate
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Evaluate
a−14=0
Rearrange the terms
a141=0
Calculate
{1=0a14=0
The statement is true for any value of a
{a∈Ra14=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
(a3)2÷a−14=0,a=0
Calculate
(a3)2÷a−14=0
Evaluate the power
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Evaluate
(a3)2
Transform the expression
a3×2
Multiply the numbers
a6
a6÷a−14=0
Divide the terms
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Evaluate
a6÷a−14
Rewrite the expression
a−14a6
Use the product rule aman=an−m to simplify the expression
1a6−(−14)
Simplify
a6−(−14)
Divide the terms
a20
a20=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
