Question
Simplify the expression
m5dby3n5
Evaluate
m421×n8÷(dby×7mn3)
Dividing by an is the same as multiplying by a−n
dby×7mm421×n8×n−3
Multiply
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Multiply the terms
m421×n8×n−3
Multiply the terms with the same base by adding their exponents
m421×n8−3
Subtract the numbers
m421×n5
Multiply the terms
m421n5
dby×7mm421n5
Use the commutative property to reorder the terms
7dbymm421n5
Multiply by the reciprocal
m421n5×7dbym1
Cancel out the common factor 7
m43n5×dbym1
Multiply the terms
m4dbym3n5
Solution
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Evaluate
m4×m
Use the product rule an×am=an+m to simplify the expression
m4+1
Add the numbers
m5
m5dby3n5
Show Solution

Find the excluded values
m=0,d=0,b=0,y=0,n=0
Evaluate
m421×n8÷(dby×7mn3)
To find the excluded values,set the denominators equal to 0
m4=0dby×7mn3=0
The only way a power can be 0 is when the base equals 0
m=0dby×7mn3=0
Solve the equations
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Evaluate
dby×7mn3=0
Use the commutative property to reorder the terms
7dbymn3=0
Evaluate
dbymn3=0
Separate the equation into 5 possible cases
d=0b=0y=0m=0n3=0
The only way a power can be 0 is when the base equals 0
d=0b=0y=0m=0n=0
Find the union
b=0d=0m=0n=0y=0
m=0d=0b=0y=0m=0n=0
Solution
m=0,d=0,b=0,y=0,n=0
Show Solution
