Simplify (5c^-3p^3)/((y^-2)^-3)*(y^3p^3)/((c^3)^-4)

5c-3p3(y-2)-3⋅y3p3(c3)-4
Combine.
5c-3p3(y3p3)(y-2)-3(c3)-4
Multiply p3 by p3 by adding the exponents.
Move p3.
5c-3(p3p3)y3(y-2)-3(c3)-4
Use the power rule aman=am+n to combine exponents.
5c-3p3+3y3(y-2)-3(c3)-4
5c-3p6y3(y-2)-3(c3)-4
5c-3p6y3(y-2)-3(c3)-4
Simplify.
Move c-3 to the denominator using the negative exponent rule b-n=1bn.
5p6y3(y-2)-3(c3)-4c3
Move (y-2)-3 to the numerator using the negative exponent rule 1b-n=bn.
5p6y3(y-2)3(c3)-4c3
Move (c3)-4 to the numerator using the negative exponent rule 1b-n=bn.
5p6y3(y-2)3(c3)4c3
5p6y3(y-2)3(c3)4c3
Simplify the numerator.
Multiply the exponents in (y-2)3.
Apply the power rule and multiply exponents, (am)n=amn.
5p6y3y-2⋅3(c3)4c3
Multiply -2 by 3.
5p6y3y-6(c3)4c3
5p6y3y-6(c3)4c3
Rewrite the expression using the negative exponent rule b-n=1bn.
5p6y31y6(c3)4c3
Multiply the exponents in (c3)4.
Apply the power rule and multiply exponents, (am)n=amn.
5p6y31y6c3⋅4c3
Multiply 3 by 4.
5p6y31y6c12c3
5p6y31y6c12c3
Combine exponents.
Combine 5 and 1y6.
p6y35y6c12c3
Combine p6 and 5y6.
y3p6⋅5y6c12c3
Combine y3 and p6⋅5y6.
y3(p6⋅5)y6c12c3
Combine y3(p6⋅5)y6 and c12.
y3(p6⋅5)c12y6c3
y3(p6⋅5)c12y6c3
Remove unnecessary parentheses.
y3p6⋅5c12y6c3
Reduce the expression y3p6⋅5c12y6 by cancelling the common factors.
Factor y3 out of y3p6⋅5c12.
y3(p6⋅5c12)y6c3
Factor y3 out of y6.
y3(p6⋅5c12)y3y3c3
Cancel the common factor.
y3(p6⋅5c12)y3y3c3
Rewrite the expression.
p6⋅5c12y3c3
p6⋅5c12y3c3
Move 5 to the left of p6.
5p6c12y3c3
5p6c12y3c3
Multiply the numerator by the reciprocal of the denominator.
5p6c12y3⋅1c3
Cancel the common factor of c3.
Factor c3 out of 5p6c12.
c3(5p6c9)y3⋅1c3
Cancel the common factor.
c3(5p6c9)y3⋅1c3
Rewrite the expression.
5p6c9y3
5p6c9y3
Simplify (5c^-3p^3)/((y^-2)^-3)*(y^3p^3)/((c^3)^-4)

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