## anonymous 5 years ago 3=(3x^2y^0z^-4)^-3 I cant have any Zero, negative or fraction exponents.

1. anonymous

you do not mean 3= do you?

2. anonymous

Yeah ignore that

3. anonymous

Typo

4. anonymous

$(3x^2y^0z^{-4})^{-3}$

5. anonymous

Thats exacty how i have it

6. anonymous

multiply all the exponents by -3, ignore the $y^0$ because it is 1

7. anonymous

$3^{-3}x^{-6}z^{12}$ ones with negative exponents go down, rest stays up. $\frac{z^{12}}{3^3x^6}$

8. anonymous

trick is to not forget the 3. it gets raised to the -3 as well.

9. anonymous

Basic multiplication rules apply? two negatives = posative, + and - = negative?

10. anonymous

*when multiplying exponents

11. anonymous

of course. all normal rules of arithmetic work even when working with exponents.

12. anonymous

One problem I think you did it wrong

13. anonymous

Wait, im confused. How did oyu get 3^-3

14. anonymous

aha i knew it. you have to raise EVERYTHING to the power of -3 because everything was in the parentheses

15. anonymous

Ahah!

16. anonymous

example $(2x^3y^{-2})^{-2}$ $=2^{-2}x^{-6}y^4$ dont forget the 2!

17. anonymous

18. anonymous

is it X^-15?

19. anonymous

or X^2

20. anonymous

*X^-2

21. anonymous

$x^3x^{-5}=x^{3-5}=x^{-2}=\frac{1}{x^2}$

22. anonymous

dont forget $x^{-5} = \frac{1}{x^5}$ so $x^3x^{-5}=\frac{x^3}{x^5}=\frac{1}{x^2}$\]

23. anonymous

in other words it makes sense to add the exponents when you multiply whether they are positive or negative.

24. anonymous

Only multiply when its an exponent to another power right?

25. anonymous

yup

26. anonymous

$b^n b^m = b^{n+m}$ $(b^n)^m=b^{mn}$

27. anonymous

(-4xy^-5)/(24x^-3) How do i take the recripical of this one?

28. anonymous

$\frac{-4xy^{-5}}{24x^{-3}}$

29. anonymous

Correct

30. anonymous

if the exponent is negative move it from down to up or from up to down. do not mess with the coefficients. they have no exponents attached.

31. anonymous

$\frac{-4xx^3}{24y^5}$

32. anonymous

now all the exponents are positive. of course you can simplify this: $-\frac{x^4}{6y^5}$

33. anonymous

thanks dude