Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
413r
Evaluate
6117÷r6
Cancel out the common factor 3
239÷r6
Multiply by the reciprocal
239×6r
Cancel out the common factor 3
213×2r
Multiply the terms
2×213r
Solution
413r
Show Solution
Find the excluded values
r=0
Evaluate
6117÷r6
To find the excluded values,set the denominators equal to 0
r=0r6=0
Solve the equations
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Evaluate
r6=0
Cross multiply
6=r×0
Simplify the equation
6=0
The statement is false for any value of r
r∈∅
r=0r∈∅
Solution
r=0
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Find the roots
r∈∅
Evaluate
6117÷r6
To find the roots of the expression,set the expression equal to 0
6117÷r6=0
Find the domain
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Evaluate
{r=0r6=0
Calculate
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Evaluate
r6=0
Multiply both sides
r6×r=0×r
Evaluate
6=0×r
Multiply both sides
6=0
The statement is true for any value of r
r∈R
{r=0r∈R
Find the intersection
r=0
6117÷r6=0,r=0
Calculate
6117÷r6=0
Cancel out the common factor 3
239÷r6=0
Divide the terms
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Evaluate
239÷r6
Multiply by the reciprocal
239×6r
Cancel out the common factor 3
213×2r
Multiply the terms
2×213r
Multiply the terms
413r
413r=0
Simplify
13r=0
Rewrite the expression
r=0
Check if the solution is in the defined range
r=0,r=0
Solution
r∈∅
Show Solution