Question

Simplify the following:

`(27 xx^9)^(2/3)`

Answer 1

`(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 (a^m)ⁿ = a^mn)

= (3)² x^{3 x 2}
= 9 x⁶.