Question

)x^{3}" align="absmiddle" class="latex-formula">

Answer 1

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

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If you are talking about: $(\frac{-12}{3}) ^{3}$

Answer: -62

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

                           $(\frac{-12}{3}) ^{3}$ simplified is -62

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If you are talking about (-1$\frac{2}{3}$)³

Answer: -$\frac{125}{27}$

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 $-\frac{5}{3}$

To cube it we must do:

($-\frac{5}{3}$)($-\frac{5}{3}$)($-\frac{5}{3}$)

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$\frac{2}{3}$)³ simplifed is -$\frac{125}{27}$