Multiply (2ab)(ab)^2(b^2)

Math
(2ab)(ab)2(b2)
Multiply b by b2 by adding the exponents.
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Move b2.
2a(b2b)(ab)2
Multiply b2 by b.
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Raise b to the power of 1.
2a(b2b1)(ab)2
Use the power rule aman=am+n to combine exponents.
2ab2+1(ab)2
2ab2+1(ab)2
Add 2 and 1.
2ab3(ab)2
2ab3(ab)2
Apply the product rule to ab.
2ab3(a2b2)
Multiply a by a2 by adding the exponents.
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Move a2.
2(a2a)b3b2
Multiply a2 by a.
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Raise a to the power of 1.
2(a2a1)b3b2
Use the power rule aman=am+n to combine exponents.
2a2+1b3b2
2a2+1b3b2
Add 2 and 1.
2a3b3b2
2a3b3b2
Multiply b3 by b2 by adding the exponents.
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Move b2.
2a3(b2b3)
Use the power rule aman=am+n to combine exponents.
2a3b2+3
Add 2 and 3.
2a3b5
2a3b5
Multiply (2ab)(ab)^2(b^2)

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