Question
Simplify the expression
y210b
Evaluate
b28y÷5b3y4y4
Multiply by the reciprocal
b28y×4y45b3y
Divide the terms
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Evaluate
4y45b3y
Use the product rule aman=an−m to simplify the expression
4y4−15b3
Reduce the fraction
4y35b3
b28y×4y35b3
Cancel out the common factor 4
b22y×y35b3
Cancel out the common factor y
b22×y25b3
Cancel out the common factor b2
2×y25b
Multiply the terms
y22×5b
Solution
y210b
Show Solution

Find the excluded values
b=0,y=0
Evaluate
b28y÷5b3y4y4
To find the excluded values,set the denominators equal to 0
b2=0b3y=05b3y4y4=0
The only way a power can be 0 is when the base equals 0
b=0b3y=05b3y4y4=0
Solve the equations
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Evaluate
b3y=0
Separate the equation into 2 possible cases
b3=0y=0
The only way a power can be 0 is when the base equals 0
b=0y=0
b=0b=0y=05b3y4y4=0
Solve the equations
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Evaluate
5b3y4y4=0
Divide the terms
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Evaluate
5b3y4y4
Use the product rule aman=an−m to simplify the expression
5b34y4−1
Reduce the fraction
5b34y3
5b34y3=0
Cross multiply
4y3=5b3×0
Simplify the equation
4y3=0
Rewrite the expression
y3=0
The only way a power can be 0 is when the base equals 0
y=0
b=0b=0y=0y=0
Solution
b=0,y=0
Show Solution
