Simplify square root of 81x^9y^6

Math
81x9y6
Rewrite 81x9y6 as (9x4y3)2x.
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Rewrite 81 as 92.
92x9y6
Factor out x8.
92(x8x)y6
Rewrite x8 as (x4)2.
92((x4)2x)y6
Rewrite y6 as (y3)2.
92((x4)2x)(y3)2
Move x.
92((x4)2)(y3)2x
Rewrite 92((x4)2)(y3)2 as (9x4y3)2.
(9x4y3)2x
(9x4y3)2x
Pull terms out from under the radical.
9x4y3x
Simplify square root of 81x^9y^6
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