# Multiply (2/3*(p^4y^3))(y^4s^5)(6p^2s^3)

(23⋅(p4y3))(y4s5)(6p2s3)
Multiply p4 by p2 by adding the exponents.
Move p2.
23⋅(p2p4y3)(y4s5)(6s3)
Use the power rule aman=am+n to combine exponents.
23⋅(p2+4y3)(y4s5)(6s3)
23⋅(p6y3)(y4s5)(6s3)
23⋅(p6y3)(y4s5)(6s3)
Multiply y3 by y4 by adding the exponents.
Move y4.
23⋅(p6(y4y3))s5(6s3)
Use the power rule aman=am+n to combine exponents.
23⋅(p6y4+3)s5(6s3)
23⋅(p6y7)s5(6s3)
23⋅(p6y7)s5(6s3)
Multiply s5 by s3 by adding the exponents.
Move s3.
23⋅(p6y7)(s3s5)⋅6
Use the power rule aman=am+n to combine exponents.
23⋅(p6y7)s3+5⋅6
23⋅(p6y7)s8⋅6
23⋅(p6y7)s8⋅6
Multiply 23(p6y7).
Combine p6 and 23.
p6⋅23y7s8⋅6
Combine p6⋅23 and y7.
p6⋅2y73s8⋅6
p6⋅2y73s8⋅6
Move 2 to the left of p6.
2⋅p6y73s8⋅6
Combine 2p6y73 and s8.
2p6y7s83⋅6
Cancel the common factor of 3.
Factor 3 out of 6.
2p6y7s83⋅(3(2))
Cancel the common factor.
2p6y7s83⋅(3⋅2)
Rewrite the expression.
2p6y7s8⋅2
2p6y7s8⋅2
Multiply 2 by 2.
4p6y7s8
Multiply (2/3*(p^4y^3))(y^4s^5)(6p^2s^3)

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