Question
Simplify the expression
4s41
Evaluate
(s2×1)(s2×4)1
Remove the parentheses
s2×1×s2×41
Reduce the fraction
s2×s2×41
Solution
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Multiply the terms
s2×s2×4
Multiply the terms with the same base by adding their exponents
s2+2×4
Add the numbers
s4×4
Use the commutative property to reorder the terms
4s4
4s41
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Find the excluded values
s=0
Evaluate
(s2×1)(s2×4)1
To find the excluded values,set the denominators equal to 0
(s2×1)(s2×4)=0
Remove the parentheses
s2×1×s2×4=0
Multiply the terms
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Evaluate
s2×1×s2×4
Rewrite the expression
s2×s2×4
Multiply the terms with the same base by adding their exponents
s2+2×4
Add the numbers
s4×4
Use the commutative property to reorder the terms
4s4
4s4=0
Rewrite the expression
s4=0
Solution
s=0
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Find the roots
s∈∅
Evaluate
(s2×1)(s2×4)1
To find the roots of the expression,set the expression equal to 0
(s2×1)(s2×4)1=0
Find the domain
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Evaluate
{s2×1×s2×4=0(s2×1)(s2×4)=0
Calculate
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Evaluate
s2×1×s2×4=0
Multiply the terms
4s4=0
Rewrite the expression
s4=0
The only way a power can not be 0 is when the base not equals 0
s=0
{s=0(s2×1)(s2×4)=0
Calculate
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Evaluate
(s2×1)(s2×4)=0
Remove the parentheses
s2×1×s2×4=0
Multiply the terms
4s4=0
Rewrite the expression
s4=0
The only way a power can not be 0 is when the base not equals 0
s=0
{s=0s=0
Find the intersection
s=0
(s2×1)(s2×4)1=0,s=0
Calculate
(s2×1)(s2×4)1=0
Any expression multiplied by 1 remains the same
s2(s2×4)1=0
Use the commutative property to reorder the terms
s2×4s21=0
Multiply the terms
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Evaluate
s2×4s2
Use the commutative property to reorder the terms
4s2×s2
Multiply the terms
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Evaluate
s2×s2
Use the product rule an×am=an+m to simplify the expression
s2+2
Add the numbers
s4
4s4
4s41=0
Cross multiply
1=4s4×0
Simplify the equation
1=0
Solution
s∈∅
Show Solution
