(4p)2p3p-1p-5⋅(4p-4)-3

Apply the product rule to 4p.

42p2p3p-1p-5⋅(4p-4)-3

Multiply p2 by p3 by adding the exponents.

Move p3.

42(p3p2)p-1p-5⋅(4p-4)-3

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

42p3+2p-1p-5⋅(4p-4)-3

Add 3 and 2.

42p5p-1p-5⋅(4p-4)-3

42p5p-1p-5⋅(4p-4)-3

Raise 4 to the power of 2.

16p5p-1p-5⋅(4p-4)-3

16p5p-1p-5⋅(4p-4)-3

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

16p5p-1-5⋅(4p-4)-3

Subtract 5 from -1.

16p5p-6⋅(4p-4)-3

16p5p-6⋅(4p-4)-3

Rewrite the expression using the negative exponent rule b-n=1bn.

16p51p6⋅(4p-4)-3

Multiply the numerator by the reciprocal of the denominator.

16p5p6⋅(4p-4)-3

Move p6.

16(p6p5)⋅(4p-4)-3

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

16p6+5⋅(4p-4)-3

Add 6 and 5.

16p11⋅(4p-4)-3

16p11⋅(4p-4)-3

Rewrite the expression using the negative exponent rule b-n=1bn.

16p11⋅(41p4)-3

Combine 4 and 1p4.

16p11⋅(4p4)-3

Change the sign of the exponent by rewriting the base as its reciprocal.

16p11⋅(p44)3

Apply the product rule to p44.

16p11⋅(p4)343

Multiply the exponents in (p4)3.

Apply the power rule and multiply exponents, (am)n=amn.

16p11⋅p4⋅343

Multiply 4 by 3.

16p11⋅p1243

16p11⋅p1243

Raise 4 to the power of 3.

16p11⋅p1264

16p11⋅p1264

Factor 16 out of 16p11.

16(p11)⋅p1264

Factor 16 out of 64.

16(p11)⋅p1216(4)

Cancel the common factor.

16p11⋅p1216⋅4

Rewrite the expression.

p11⋅p124

p11⋅p124

Combine p11 and p124.

p11p124

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

p11+124

Add 11 and 12.

p234

p234

Simplify ((4p)^2p^3)/(p^-1p^-5)*(4p^-4)^-3