Basic Math Examples

Simplify ((4ab^9)/(7a^6b))÷((32a^6b^6)/(56ab^9))
Step 1
To divide by a fraction, multiply by its reciprocal.
Step 2
Combine.
Step 3
Multiply by by adding the exponents.
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Step 3.1
Move .
Step 3.2
Multiply by .
Step 4
Multiply by by adding the exponents.
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Step 4.1
Move .
Step 4.2
Use the power rule to combine exponents.
Step 4.3
Add and .
Step 5
Multiply by by adding the exponents.
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Step 5.1
Move .
Step 5.2
Use the power rule to combine exponents.
Step 5.3
Add and .
Step 6
Multiply by by adding the exponents.
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Step 6.1
Move .
Step 6.2
Multiply by .
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Step 6.2.1
Raise to the power of .
Step 6.2.2
Use the power rule to combine exponents.
Step 6.3
Add and .
Step 7
Cancel the common factor of and .
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Step 7.1
Factor out of .
Step 7.2
Cancel the common factors.
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Step 7.2.1
Factor out of .
Step 7.2.2
Cancel the common factor.
Step 7.2.3
Rewrite the expression.
Step 8
Cancel the common factor of and .
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Step 8.1
Factor out of .
Step 8.2
Cancel the common factors.
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Step 8.2.1
Factor out of .
Step 8.2.2
Cancel the common factor.
Step 8.2.3
Rewrite the expression.
Step 9
Cancel the common factor of and .
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Step 9.1
Factor out of .
Step 9.2
Cancel the common factors.
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Step 9.2.1
Factor out of .
Step 9.2.2
Cancel the common factor.
Step 9.2.3
Rewrite the expression.
Step 10
Cancel the common factor of and .
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Step 10.1
Factor out of .
Step 10.2
Cancel the common factors.
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Step 10.2.1
Factor out of .
Step 10.2.2
Cancel the common factor.
Step 10.2.3
Rewrite the expression.
Step 11
Cancel the common factor of .
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Step 11.1
Cancel the common factor.
Step 11.2
Rewrite the expression.