Finite Math Examples

Find the Domain (4b)/(3a^4)*(a^5b)/(10b^3)
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
Divide each term in by and simplify.
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Step 2.1.1
Divide each term in by .
Step 2.1.2
Simplify the left side.
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Step 2.1.2.1
Cancel the common factor of .
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Step 2.1.2.1.1
Cancel the common factor.
Step 2.1.2.1.2
Divide by .
Step 2.1.3
Simplify the right side.
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Step 2.1.3.1
Divide by .
Step 2.2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.3
Simplify .
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Step 2.3.1
Rewrite as .
Step 2.3.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.3.3
Plus or minus is .
Step 3
Set the denominator in equal to to find where the expression is undefined.
Step 4
Solve for .
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Step 4.1
Divide each term in by and simplify.
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Step 4.1.1
Divide each term in by .
Step 4.1.2
Simplify the left side.
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Step 4.1.2.1
Cancel the common factor of .
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Step 4.1.2.1.1
Cancel the common factor.
Step 4.1.2.1.2
Divide by .
Step 4.1.3
Simplify the right side.
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Step 4.1.3.1
Divide by .
Step 4.2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4.3
Simplify .
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Step 4.3.1
Rewrite as .
Step 4.3.2
Pull terms out from under the radical, assuming real numbers.
Step 5
The domain is all values of that make the expression defined.
Interval Notation:
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