Another algebra question that defies the algebra reasoning... ?

Question

Okay you say and the book says the rules are as follows....

Negativ + negativ = positive

Positive+ positive - positive

AND ONLY a negative +- positive = negative.

THEN why is the following a negative???

( - 3) 3 (squared) = ( -3)( -3)(-3) = - 27.

Should it NOT be a positive? HeLLO. Negatives in a row.

It has nothing to do with subtraction either because the following makes sense.

-3 2 (squared) = -3 x3 = =9. (the rule works on this one....)

Answer 1

negative + negative= negative

positive + positive= positive

positive + negative = positive or negative

negative + positive= positive or negative

positive - positive = positive or negative

positive +- positive= positive or negative

negative - a negative = positive or negative

negative * negative = positive

negative* positive = negative

negative *  negative * negative= negative

Answer 2

negative times negative is positive

negative time positive is negative

so when you multiply 3 negative numbers you get a negative number because multiplying the first 2 gives you a positive then multiplying by the 3rd negative turns it back to negative

-3(-3)(-3) =+9(-3)=-27

Answer 3

well first of all, you take (-3)(9)that's 3 squared

then you got a neg times a pos with leaves it negative

and

(-3) time 2 squared = (-3) times 4 = -12

Answer 4

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Answer 5

When you have (-3)^3 (negative three to the power of three; or negative three "cubed"), you can write it as

-3 x -3 x -3

Now, you can split this up:

(-3 x -3) x -3

The first part, in the brackets, is two negatives, which you know, makes a positive.

so now you have

(positive) x -3

which you also know, is negavive.

So the answer is -27

Although two negatives make a positive, THREE negatives make a negative. The pattern keeps going:

4 negatives make a positive

5 negatives make a negatives

6 negatives make a positive

7 negatives make a negatives

and so on.