Finite Math Examples

Simplify (3y)/( square root of 9x^3y^4)
Step 1
Simplify the denominator.
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Step 1.1
Rewrite as .
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Step 1.1.1
Rewrite as .
Step 1.1.2
Factor out .
Step 1.1.3
Rewrite as .
Step 1.1.4
Move .
Step 1.1.5
Rewrite as .
Step 1.2
Pull terms out from under the radical.
Step 2
Reduce the expression by cancelling the common factors.
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Step 2.1
Cancel the common factor of .
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Step 2.1.1
Cancel the common factor.
Step 2.1.2
Rewrite the expression.
Step 2.2
Cancel the common factor of and .
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Step 2.2.1
Raise to the power of .
Step 2.2.2
Factor out of .
Step 2.2.3
Cancel the common factors.
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Step 2.2.3.1
Factor out of .
Step 2.2.3.2
Cancel the common factor.
Step 2.2.3.3
Rewrite the expression.
Step 3
Multiply by .
Step 4
Combine and simplify the denominator.
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Step 4.1
Multiply by .
Step 4.2
Move .
Step 4.3
Raise to the power of .
Step 4.4
Raise to the power of .
Step 4.5
Use the power rule to combine exponents.
Step 4.6
Add and .
Step 4.7
Rewrite as .
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Step 4.7.1
Use to rewrite as .
Step 4.7.2
Apply the power rule and multiply exponents, .
Step 4.7.3
Combine and .
Step 4.7.4
Cancel the common factor of .
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Step 4.7.4.1
Cancel the common factor.
Step 4.7.4.2
Rewrite the expression.
Step 4.7.5
Simplify.
Step 5
Multiply by by adding the exponents.
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Step 5.1
Move .
Step 5.2
Multiply by .