Finite Math Examples

Find Where Undefined/Discontinuous ( cube root of x^3)/( fifth root of x^2)
Step 1
Set the denominator in equal to to find where the expression is undefined.
Step 2
Solve for .
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Step 2.1
To remove the radical on the left side of the equation, raise both sides of the equation to the power of .
Step 2.2
Simplify each side of the equation.
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Step 2.2.1
Use to rewrite as .
Step 2.2.2
Simplify the left side.
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Step 2.2.2.1
Multiply the exponents in .
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Step 2.2.2.1.1
Apply the power rule and multiply exponents, .
Step 2.2.2.1.2
Cancel the common factor of .
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Step 2.2.2.1.2.1
Cancel the common factor.
Step 2.2.2.1.2.2
Rewrite the expression.
Step 2.2.3
Simplify the right side.
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Step 2.2.3.1
Raising to any positive power yields .
Step 2.3
Solve for .
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Step 2.3.1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.3.2
Simplify .
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Step 2.3.2.1
Rewrite as .
Step 2.3.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.3.2.3
Plus or minus is .
Step 3