Simplify (x^2y)^3(xy)

Math
(x2y)3(xy)
Apply the product rule to x2y.
(x2)3y3(xy)
Multiply y3 by y by adding the exponents.
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Move y.
(x2)3(y⋅y3)x
Multiply y by y3.
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Raise y to the power of 1.
(x2)3(y1y3)x
Use the power rule aman=am+n to combine exponents.
(x2)3y1+3x
(x2)3y1+3x
Add 1 and 3.
(x2)3y4x
(x2)3y4x
Multiply the exponents in (x2)3.
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Apply the power rule and multiply exponents, (am)n=amn.
x2⋅3y4x
Multiply 2 by 3.
x6y4x
x6y4x
Multiply x6 by x by adding the exponents.
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Move x.
x⋅x6y4
Multiply x by x6.
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Raise x to the power of 1.
x1x6y4
Use the power rule aman=am+n to combine exponents.
x1+6y4
x1+6y4
Add 1 and 6.
x7y4
x7y4
Simplify (x^2y)^3(xy)

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