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Question
Simplify the following:
`(27 xx^9)^(2/3)`
Solution
`(27 xx^9)^(2/3)`
= `(3^3 xx^9)^(2/3)`
= `(3^3)^(2/3)(xx^9)^(2/3)` ......(Using (a x b)n = an x bn)
= `(3)^(3 xx 2/3) (xx)^(9 xx 2/3)` .....(Using (am)n = amn)
= (3)2 x3 x 2
= 9 x6.
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