Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−3664v5
Evaluate
v×9−2v3×166v3×6
Dividing by an is the same as multiplying by a−n
9−2v3×166v3×6v−1
Multiply
More Steps
Evaluate
−2v3×166v3×6v−1
Multiply the terms
More Steps
Evaluate
−2×166×6
Multiply the terms
−332×6
Multiply the numbers
−1992
−1992v3×v3×v−1
Multiply the terms with the same base by adding their exponents
−1992v3+3−1
Calculate the sum or difference
−1992v5
9−1992v5
Use b−a=−ba=−ba to rewrite the fraction
−91992v5
Solution
−3664v5
Show Solution
Find the excluded values
v=0
Evaluate
v×9−2v3×166v3×6
To find the excluded values,set the denominators equal to 0
v×9=0
Use the commutative property to reorder the terms
9v=0
Solution
v=0
Show Solution
Find the roots
v∈∅
Evaluate
v×9−2v3×166v3×6
To find the roots of the expression,set the expression equal to 0
v×9−2v3×166v3×6=0
Find the domain
More Steps
Evaluate
v×9=0
Use the commutative property to reorder the terms
9v=0
Rewrite the expression
v=0
v×9−2v3×166v3×6=0,v=0
Calculate
v×9−2v3×166v3×6=0
Multiply
More Steps
Multiply the terms
−2v3×166v3×6
Multiply the terms
More Steps
Evaluate
2×166×6
Multiply the terms
332×6
Multiply the numbers
1992
−1992v3×v3
Multiply the terms with the same base by adding their exponents
−1992v3+3
Add the numbers
−1992v6
v×9−1992v6=0
Use the commutative property to reorder the terms
9v−1992v6=0
Divide the terms
More Steps
Evaluate
9v−1992v6
Use the product rule aman=an−m to simplify the expression
9−1992v6−1
Reduce the fraction
9−1992v5
Divide the terms
More Steps
Evaluate
9−1992
Cancel out the common factor 3
3−664
Use b−a=−ba=−ba to rewrite the fraction
−3664
3−664v5
Use b−a=−ba=−ba to rewrite the fraction
−3664v5
−3664v5=0
Simplify
−664v5=0
Change the signs on both sides of the equation
664v5=0
Rewrite the expression
v5=0
The only way a power can be 0 is when the base equals 0
v=0
Check if the solution is in the defined range
v=0,v=0
Solution
v∈∅
Show Solution