Finite Math Examples

Simplify ((2x^3y^4)^3(8x^10y))/(4x^12y^10)
Step 1
Reduce the expression by cancelling the common factors.
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Step 1.1
Cancel the common factor of and .
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Step 1.1.1
Factor out of .
Step 1.1.2
Cancel the common factors.
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Step 1.1.2.1
Factor out of .
Step 1.1.2.2
Cancel the common factor.
Step 1.1.2.3
Rewrite the expression.
Step 1.2
Cancel the common factor of and .
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Step 1.2.1
Factor out of .
Step 1.2.2
Cancel the common factors.
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Step 1.2.2.1
Factor out of .
Step 1.2.2.2
Cancel the common factor.
Step 1.2.2.3
Rewrite the expression.
Step 1.3
Cancel the common factor of and .
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Step 1.3.1
Factor out of .
Step 1.3.2
Cancel the common factors.
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Step 1.3.2.1
Factor out of .
Step 1.3.2.2
Cancel the common factor.
Step 1.3.2.3
Rewrite the expression.
Step 2
Simplify the numerator.
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Step 2.1
Apply the product rule to .
Step 2.2
Apply the product rule to .
Step 2.3
Raise to the power of .
Step 2.4
Multiply the exponents in .
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Step 2.4.1
Apply the power rule and multiply exponents, .
Step 2.4.2
Multiply by .
Step 2.5
Multiply the exponents in .
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Step 2.5.1
Apply the power rule and multiply exponents, .
Step 2.5.2
Multiply by .
Step 2.6
Multiply by .
Step 3
Reduce the expression by cancelling the common factors.
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Step 3.1
Cancel the common factor of and .
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Step 3.1.1
Factor out of .
Step 3.1.2
Cancel the common factors.
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Step 3.1.2.1
Factor out of .
Step 3.1.2.2
Cancel the common factor.
Step 3.1.2.3
Rewrite the expression.
Step 3.2
Cancel the common factor of and .
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factors.
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Step 3.2.2.1
Multiply by .
Step 3.2.2.2
Cancel the common factor.
Step 3.2.2.3
Rewrite the expression.
Step 3.2.2.4
Divide by .