Simplify 3( square root of 64p)^3

Math
3(64p)3
Rewrite 64 as 82.
382p3
Pull terms out from under the radical.
3(8p)3
Simplify the expression.
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Apply the product rule to 8p.
3(83p3)
Raise 8 to the power of 3.
3(512p3)
3(512p3)
Rewrite p3 as (p3)12.
3(512p3)
Factor out p2.
3(512p2p)
Pull terms out from under the radical.
3(512(pp))
Multiply 512 by 3.
1536pp
Simplify 3( square root of 64p)^3

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