Question

`(-1{2}{3} )x^(3)`

Answer 1

After talking with you here are two different options I think you are trying to ask:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about:
`((-12)/(3)) ^(3)`

Answer: -62

Step-by-step explanation:

PEMDAS tells us we need to do the exponent first:

-12³ = (-12)³ = -1728

The parentheses are important so you cube the negative sign as well!

3³ = 27

-1728 / 27 = -62

`((-12)/(3)) ^(3)` simplified is -62

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If you are talking about (-1
`(2)/(3)`)³

Answer: -
`(125)/(27)`

Step-by-step explanation:

First, let us turn -1 and two thirds into a mixed number:

Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get
`-(5)/(3)`

To cube it we must do:

(
`-(5)/(3)`)(
`-(5)/(3)`)(
`-(5)/(3)`)

3 times 3 (9) times 3 is 27

5 times 5 (25) times 5 is 125

So we have 125/27

For the negative, we have three - - -

Two cancel each other out, and we are left with one (-) so our answer is negative

(-1
`(2)/(3)`)³ simplifed is -
`(125)/(27)`