Question
Simplify the expression
2a6
Evaluate
2(a2×a2)23
Multiply the terms
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Evaluate
a2×a2
Use the product rule an×am=an+m to simplify the expression
a2+2
Add the numbers
a4
2(a4)23
Solution
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Evaluate
(a4)23
Transform the expression
a4×23
Multiply the numbers
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Evaluate
4×23
Reduce the numbers
2×3
Multiply the numbers
6
a6
2a6
Show Solution

Find the roots
a=0
Evaluate
2(a2×a2)23
To find the roots of the expression,set the expression equal to 0
2(a2×a2)23=0
Find the domain
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Evaluate
a2×a2≥0
Multiply the terms
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Evaluate
a2×a2
Use the product rule an×am=an+m to simplify the expression
a2+2
Add the numbers
a4
a4≥0
Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of a
a∈R
2(a2×a2)23=0,a∈R
Calculate
2(a2×a2)23=0
Multiply the terms
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Evaluate
a2×a2
Use the product rule an×am=an+m to simplify the expression
a2+2
Add the numbers
a4
2(a4)23=0
Evaluate the power
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Evaluate
(a4)23
Transform the expression
a4×23
Multiply the numbers
More Steps

Evaluate
4×23
Reduce the numbers
2×3
Multiply the numbers
6
a6
2a6=0
Rewrite the expression
a6=0
Solution
a=0
Show Solution
