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Question
Simplify the following:
`(8 xx^6y^3)^(2/3)`
Solution
`(8 x^6y^3)^(2/3)`
= `(2^3x^6y^3)^(2/3)`
= `(2^3)^(2/3)(x^6)^(2/3)(y^3)^(2/3)` .....(Using (a x b)n = an x bn)
= `(2)^(3 xx 2/3)(x)^(6 xx 2/3)(y)^(3 xx 2/3)` .....(Using (am)n = amn)
= (2)2(x)4(y)2
= 4x4y2.
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