## ikshjbdckoj 2 years ago 8. Is the following statement always, never, or sometimes true? A number raised to a negative exponent is negative. always never sometimes

1. Directrix

What does (-2)^(-2) equal?

2. ikshjbdckoj

-4?

3. ikshjbdckoj

that would still be -4 right?

4. Directrix

|dw:1360016190972:dw| (-2)^(-2) =

5. Directrix

that would still be -4 right? --> No.

6. ikshjbdckoj

why not?

7. Directrix

What about (-2)^(-3)? Is it positive or negative?

8. ikshjbdckoj

positive

9. Directrix

>why not? Look at my work above

10. ikshjbdckoj

I don't understand all of the signs :(

11. Directrix

|dw:1360016415936:dw|(-2)^(-3)

12. ikshjbdckoj

so a negative and a negative equals a positive?

13. Directrix

It is not that simple. (-2)^(-3) does NOT mean (-2) times (-3). It means 1 divided by (2^3).

14. ikshjbdckoj

oh so is the answer never? cuz if you make it into a fraction ita always gonna be positive on the bottom.

15. Directrix

16. Directrix

Number raised to negative exponent: (-2)^(-2) = 1/4 Another number raised to negative exponent: (-2)^(-3) = - 1/8 A number raised to a negative exponent can be positive or can be negative.

17. ikshjbdckoj

Oh I didn't know that :/ I'm sorry I took so long :/

18. Directrix

Fast is fine but accuracy is everything. (Wyatt Earp) Mathematics takes time and patience. Don't apologize. I'm glad to help.

19. 237051

so whats the answer