Divide (27a^3b^-2c^-2)/(3a^2b^-4c^-2)

Math
27a3b-2c-23a2b-4c-2
Move b-4 to the numerator using the negative exponent rule 1b-n=bn.
27a3b-2c-2b43a2c-2
Multiply b-2 by b4 by adding the exponents.
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Move b4.
27a3(b4b-2)c-23a2c-2
Use the power rule aman=am+n to combine exponents.
27a3b4-2c-23a2c-2
Subtract 2 from 4.
27a3b2c-23a2c-2
27a3b2c-23a2c-2
Cancel the common factor of 27 and 3.
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Factor 3 out of 27a3b2c-2.
3(9a3b2c-2)3a2c-2
Cancel the common factors.
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Factor 3 out of 3a2c-2.
3(9a3b2c-2)3(a2c-2)
Cancel the common factor.
3(9a3b2c-2)3(a2c-2)
Rewrite the expression.
9a3b2c-2a2c-2
9a3b2c-2a2c-2
9a3b2c-2a2c-2
Cancel the common factor of a3 and a2.
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Factor a2 out of 9a3b2c-2.
a2(9ab2c-2)a2c-2
Cancel the common factors.
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Factor a2 out of a2c-2.
a2(9ab2c-2)a2(c-2)
Cancel the common factor.
a2(9ab2c-2)a2c-2
Rewrite the expression.
9ab2c-2c-2
9ab2c-2c-2
9ab2c-2c-2
Cancel the common factor of c-2.
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Cancel the common factor.
9ab2c-2c-2
Divide 9ab2 by 1.
9ab2
9ab2
Divide (27a^3b^-2c^-2)/(3a^2b^-4c^-2)

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