Simplify (4uv^2)(6u^5v^5)

(4uv2)(6u5v5)

Multiply u by u5 by adding the exponents.

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Move u5.

4(u5u)v2(6v5)

Multiply u5 by u.

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Raise u to the power of 1.

4(u5u1)v2(6v5)

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

4u5+1v2(6v5)

Add 5 and 1.

4u6v2(6v5)

Multiply v2 by v5 by adding the exponents.

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Move v5.

4u6(v5v2)⋅6

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

4u6v5+2⋅6

Add 5 and 2.

4u6v7⋅6

Multiply 6 by 4.

24u6v7

Simplify (4uv^2)(6u^5v^5)