Question
Simplify the expression
ca4b
Evaluate
(ab)2a4×ac×(bc)2b4×ba
Divide the terms
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Evaluate
(ab)2a4
Factor the expression
a2b2a4
Reduce the fraction
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Calculate
a2a4
Use the product rule aman=an−m to simplify the expression
a4−2
Subtract the terms
a2
b2a2
b2a2×ac×(bc)2b4×ba
Divide the terms
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Evaluate
(bc)2b4
Factor the expression
b2c2b4
Reduce the fraction
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Calculate
b2b4
Use the product rule aman=an−m to simplify the expression
b4−2
Subtract the terms
b2
c2b2
b2a2×ac×c2b2×ba
Multiply the terms
b2a2×a2c×c2b2×b
Multiply the terms
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Multiply the terms
b2a2×a2
Multiply the terms
b2a2×a2
Multiply the terms
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Evaluate
a2×a2
Use the product rule an×am=an+m to simplify the expression
a2+2
Add the numbers
a4
b2a4
b2a4×c×c2b2×b
Multiply the terms
b2a4c×c2b2×b
Multiply the terms
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Multiply the terms
b2a4c×c2b2
Cancel out the common factor c
b2a4×cb2
Cancel out the common factor b2
a4×c1
Multiply the terms
ca4
ca4×b
Solution
ca4b
Show Solution

Find the excluded values
a=0,b=0,c=0
Evaluate
(ab)2a4×(ac)×(bc)2b4×(ba)
To find the excluded values,set the denominators equal to 0
(ab)2=0(bc)2=0
Solve the equations
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Evaluate
(ab)2=0
To raise a product to a power,raise each factor to that power
a2b2=0
Separate the equation into 2 possible cases
a2=0b2=0
The only way a power can be 0 is when the base equals 0
a=0b2=0
The only way a power can be 0 is when the base equals 0
a=0b=0
a=0b=0(bc)2=0
Solve the equations
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Evaluate
(bc)2=0
To raise a product to a power,raise each factor to that power
b2c2=0
Separate the equation into 2 possible cases
b2=0c2=0
The only way a power can be 0 is when the base equals 0
b=0c2=0
The only way a power can be 0 is when the base equals 0
b=0c=0
a=0b=0b=0c=0
Solution
a=0,b=0,c=0
Show Solution
