Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x42
Evaluate
x4x3÷3x3−x41
Divide the terms
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Evaluate
x4x3
Use the product rule aman=an−m to simplify the expression
x4−31
Reduce the fraction
x1
x1÷3x3−x41
Divide the terms
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Evaluate
x1÷3x3
Multiply by the reciprocal
x1×x33
Multiply the terms
x×x33
Multiply the terms
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Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
x43
x43−x41
Write all numerators above the common denominator
x43−1
Solution
x42
Show Solution
Find the excluded values
x=0
Evaluate
x4x3÷3x3−x41
To find the excluded values,set the denominators equal to 0
x4=03x3=0
The only way a power can be 0 is when the base equals 0
x=03x3=0
Solve the equations
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Evaluate
3x3=0
Simplify
x3=0
The only way a power can be 0 is when the base equals 0
x=0
x=0x=0
Solution
x=0
Show Solution
Find the roots
x∈∅
Evaluate
x4x3÷3x3−x41
To find the roots of the expression,set the expression equal to 0
x4x3÷3x3−x41=0
Find the domain
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Evaluate
{x4=03x3=0
The only way a power can not be 0 is when the base not equals 0
{x=03x3=0
Calculate
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Evaluate
3x3=0
Simplify
x3=0
The only way a power can not be 0 is when the base not equals 0
x=0
{x=0x=0
Find the intersection
x=0
x4x3÷3x3−x41=0,x=0
Calculate
x4x3÷3x3−x41=0
Divide the terms
More Steps
Evaluate
x4x3
Use the product rule aman=an−m to simplify the expression
x4−31
Reduce the fraction
x1
x1÷3x3−x41=0
Divide the terms
More Steps
Evaluate
x1÷3x3
Multiply by the reciprocal
x1×x33
Multiply the terms
x×x33
Multiply the terms
More Steps
Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
x43
x43−x41=0
Subtract the terms
More Steps
Simplify
x43−x41
Write all numerators above the common denominator
x43−1
Subtract the numbers
x42
x42=0
Cross multiply
2=x4×0
Simplify the equation
2=0
Solution
x∈∅
Show Solution