Question
Simplify the expression
−2400y7
Evaluate
20y3×20y2(30×−5y)y
Remove the parentheses
20y3×20y2×30×−5yy
Use b−a=−ba=−ba to rewrite the fraction
20y3×20y2×30(−5y)y
Any expression multiplied by 1 remains the same
−20y3×20y2×30×5yy
Multiply the terms
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Evaluate
20×20×30
Multiply the terms
400×30
Multiply the numbers
12000
−12000y3×y2×5yy
Multiply the terms with the same base by adding their exponents
−12000y3+2+1×5y
Add the numbers
−12000y6×5y
Solution
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Multiply the terms
12000y6×5y
Cancel out the common factor 5
2400y6×y
Multiply the terms
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Evaluate
y6×y
Use the product rule an×am=an+m to simplify the expression
y6+1
Add the numbers
y7
2400y7
−2400y7
Show Solution

Find the roots
y=0
Evaluate
20y3×20y2(30×−5y)y
To find the roots of the expression,set the expression equal to 0
20y3×20y2(30×−5y)y=0
Use b−a=−ba=−ba to rewrite the fraction
20y3×20y2(30(−5y))y=0
Multiply the terms
More Steps

Evaluate
30(−5y)
Multiplying or dividing an odd number of negative terms equals a negative
−30×5y
Cancel out the common factor 5
−6y
20y3×20y2(−6y)y=0
Multiply
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Multiply the terms
20y3×20y2(−6y)y
Rewrite the expression
−20y3×20y2×6y×y
Multiply the terms
More Steps

Evaluate
20×20×6
Multiply the terms
400×6
Multiply the numbers
2400
−2400y3×y2×y×y
Multiply the terms with the same base by adding their exponents
−2400y3+2+1+1
Add the numbers
−2400y7
−2400y7=0
Change the signs on both sides of the equation
2400y7=0
Rewrite the expression
y7=0
Solution
y=0
Show Solution
