Simplify (-6ab^2)(5a^2b)

(-6ab2)(5a2b)

Multiply a by a2 by adding the exponents.

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Move a2.

-6(a2a)b2(5b)

Multiply a2 by a.

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Raise a to the power of 1.

-6(a2a1)b2(5b)

Use the power rule aman=am+n to combine exponents.

-6a2+1b2(5b)

Add 2 and 1.

-6a3b2(5b)

Multiply b2 by b by adding the exponents.

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Move b.

-6a3(b⋅b2)⋅5

Multiply b by b2.

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Raise b to the power of 1.

-6a3(b1b2)⋅5

Use the power rule aman=am+n to combine exponents.

-6a3b1+2⋅5

Add 1 and 2.

-6a3b3⋅5

Multiply 5 by -6.

-30a3b3

Simplify (-6ab^2)(5a^2b)