Simplify 6(xy)^4(5xy)

Math
6(xy)4(5xy)
Apply the product rule to xy.
6(x4y4)(5xy)
Multiply x4 by x by adding the exponents.
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Move x.
6(x⋅x4y4)(5y)
Multiply x by x4.
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Raise x to the power of 1.
6(x1x4y4)(5y)
Use the power rule aman=am+n to combine exponents.
6(x1+4y4)(5y)
6(x1+4y4)(5y)
Add 1 and 4.
6(x5y4)(5y)
6(x5y4)(5y)
Multiply y4 by y by adding the exponents.
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Move y.
6(x5(y⋅y4))⋅5
Multiply y by y4.
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Raise y to the power of 1.
6(x5(y1y4))⋅5
Use the power rule aman=am+n to combine exponents.
6(x5y1+4)⋅5
6(x5y1+4)⋅5
Add 1 and 4.
6(x5y5)⋅5
6(x5y5)⋅5
Multiply 5 by 6.
30x5y5
Simplify 6(xy)^4(5xy)

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