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

Math
(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.
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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.
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Use the power rule aman=am+n to combine exponents.
4⋅22r4+2
Add 4 and 2.
4⋅22r6
4⋅22r6
Raise 2 to the power of 2.
4⋅4r6
Multiply 4 by 4.
16r6
Simplify (2r^2)^2*(2r)^2

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