Question
Simplify the expression
4
Evaluate
a216×a2
Multiply the terms
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Multiply the terms
a216×a2
Cancel out the common factor a2
16×1
Multiply the terms
16
16
Write the number in exponential form with the base of 4
42
Solution
4
Show Solution

Find the roots
a∈∅
Evaluate
a216×a2
To find the roots of the expression,set the expression equal to 0
a216×a2=0
Find the domain
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Evaluate
{a2=0a216×a2≥0
The only way a power can not be 0 is when the base not equals 0
{a=0a216×a2≥0
Calculate
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Evaluate
a216×a2≥0
Multiply the terms
16≥0
The statement is true for any value of a
a∈R
{a=0a∈R
Find the intersection
a=0
a216×a2=0,a=0
Calculate
a216×a2=0
Multiply the terms
More Steps

Multiply the terms
a216×a2
Cancel out the common factor a2
16×1
Multiply the terms
16
16=0
Evaluate the square root
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Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
4=0
Solution
a∈∅
Show Solution
