Question

(-1 2/3) to the third power

Answer 1

`-4(17)/(27)`

Explanation:

We are asked to calculate the value of
`-1(2)/(3)` to the third power.

Now,
`(-1(2)/(3))^(3)`

=
`(-(5)/(3) )^(3)`

=
`(-(5)/(3) ) * (-(5)/(3) )* (-(5)/(3) )` { Since we know, a³ = a × a × a }

=
`-(5^(3) )/(3^(3) )` { Since the product of three negative numbers is also negative }

=
`-(125)/(27)`

=
`-4(17)/(27)` ( Answer )