Question

(_2/3)(Raised to power 3) multiplied by (_3/2)(raised to power 2)

Answer 1

`(-2)/(3)`

Explanation:

From the given question,

`((-2)/(3) )^(3)` x
`((-3)/(2) )^(2)`

Applying the required principle of indices to solve the question, we have;

`((-2)/(3) )^(3)` x
`((-3)/(2) )^(2)` =
`((-2)^(3) )/(3^(3) )` x
`((-3)^(2) )/(2^(2) )`

=
`(-8)/(27)` x
`(9)/(4)`

=
`(-72)/(108)`

=
`(-2)/(3)`

Thus, the final answer is
`(-2)/(3)`.