Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
7576y5
Evaluate
y×76y2×48y4×2
Dividing by an is the same as multiplying by a−n
76y2×48y4×2y−1
Solution
More Steps
Multiply the terms
6y2×48y4×2y−1
Multiply the terms
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Evaluate
6×48×2
Multiply the terms
288×2
Multiply the numbers
576
576y2×y4×y−1
Multiply the terms with the same base by adding their exponents
576y2+4−1
Calculate the sum or difference
576y5
7576y5
Show Solution
Find the excluded values
y=0
Evaluate
y×76y2×48y4×2
To find the excluded values,set the denominators equal to 0
y×7=0
Use the commutative property to reorder the terms
7y=0
Solution
y=0
Show Solution
Find the roots
y∈∅
Evaluate
y×76y2×48y4×2
To find the roots of the expression,set the expression equal to 0
y×76y2×48y4×2=0
Find the domain
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Evaluate
y×7=0
Use the commutative property to reorder the terms
7y=0
Rewrite the expression
y=0
y×76y2×48y4×2=0,y=0
Calculate
y×76y2×48y4×2=0
Multiply
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Multiply the terms
6y2×48y4×2
Multiply the terms
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Evaluate
6×48×2
Multiply the terms
288×2
Multiply the numbers
576
576y2×y4
Multiply the terms with the same base by adding their exponents
576y2+4
Add the numbers
576y6
y×7576y6=0
Use the commutative property to reorder the terms
7y576y6=0
Divide the terms
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Evaluate
7y576y6
Use the product rule aman=an−m to simplify the expression
7576y6−1
Reduce the fraction
7576y5
7576y5=0
Simplify
576y5=0
Rewrite the expression
y5=0
The only way a power can be 0 is when the base equals 0
y=0
Check if the solution is in the defined range
y=0,y=0
Solution
y∈∅
Show Solution