Simplify (2r^2)^2*(2r)^2

(2r2)2⋅(2r)2
Apply the product rule to 2r2.
22(r2)2⋅(2r)2
Raise 2 to the power of 2.
4(r2)2⋅(2r)2
Multiply the exponents in (r2)2.
Apply the power rule and multiply exponents, (am)n=amn.
4r2⋅2⋅(2r)2
Multiply 2 by 2.
4r4⋅(2r)2
4r4⋅(2r)2
Apply the product rule to 2r.
4r4⋅(22r2)
Rewrite using the commutative property of multiplication.
4⋅22(r4r2)
Multiply r4 by r2 by adding the exponents.
Use the power rule aman=am+n to combine exponents.
4⋅22r4+2