Simplify (7b^-3c^5)(3b^-5c^-2)

Math
(7b-3c5)(3b-5c-2)
Multiply b-3 by b-5 by adding the exponents.
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Move b-5.
7(b-5b-3)c5(3c-2)
Use the power rule aman=am+n to combine exponents.
7b-5-3c5(3c-2)
Subtract 3 from -5.
7b-8c5(3c-2)
7b-8c5(3c-2)
Multiply c5 by c-2 by adding the exponents.
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Move c-2.
7b-8(c-2c5)⋅3
Use the power rule aman=am+n to combine exponents.
7b-8c-2+5⋅3
Add -2 and 5.
7b-8c3⋅3
7b-8c3⋅3
Rewrite the expression using the negative exponent rule b-n=1bn.
71b8c3⋅3
Combine 7 and 1b8.
7b8c3⋅3
Combine 7b8 and c3.
7c3b8⋅3
Multiply 7c3b8⋅3.
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Combine 7c3b8 and 3.
7c3⋅3b8
Multiply 3 by 7.
21c3b8
21c3b8
Simplify (7b^-3c^5)(3b^-5c^-2)

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