Simplify (5b^3)(-2b)^3

Math
(5b3)(-2b)3
Apply the product rule to -2b.
5b3((-2)3b3)
Rewrite using the commutative property of multiplication.
5⋅(-2)3(b3b3)
Multiply b3 by b3 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
5⋅(-2)3b3+3
Add 3 and 3.
5⋅(-2)3b6
5⋅(-2)3b6
Raise -2 to the power of 3.
5⋅-8b6
Multiply 5 by -8.
-40b6
Simplify (5b^3)(-2b)^3

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