## anonymous 3 years ago Choose the correct simplification of the expression 9 over h^-3. h^3 over 9 9 over h^3 9h^3 This expression is already simplified. @mathstudent55 can u help ?

1. anonymous

c

2. anonymous

explain @MATTW20

3. anonymous

if you have an expression with a negative exponent that is in the bottom portion of the fraction. putting it in the top of the fraction makes it positive.

4. anonymous

1/exponent is the same as -exponent/1

5. anonymous

cann u help with a few others ? its short

6. anonymous

sure

7. anonymous

Choose the correct simplification of the expression (2b over c)^3. 2b^3 over c^3 8b^3 over c^3 2b^3 over c 2b over c^3

8. anonymous

a

9. anonymous

both expressions get raised to the third power because they're in parentheses

10. anonymous

Choose the correct simplification of the expression g^5 h^4 over g ^2 h^3. g^7h g^3h g^7h^7 g^3 over h^7

11. anonymous

b. When you have variables with exponents over variables with exponents you subtract the exponents

12. anonymous

@MATTW20 last one i promise ! Show the expanded form and simplification of x^6 over x^2. Explain in your own words how you can simplify x^6 over x^2 without having to write the expanded form. Create your own fraction with like bases, coefficients, and show its simplification

13. anonymous

|dw:1362510116798:dw|

14. anonymous

you can simplify (x^6)/(x^2) without writing expanded form by using the formula $\frac{ x ^{a} }{ x ^{b} }=x ^{a-b}$ so $\frac{ x ^{6} }{ x ^{2} }=x ^{6-2}=x ^{4}$

15. anonymous

thank u !!!!!

16. anonymous

As for the last one all you have to do is make up a problem of your own and solve it

17. anonymous

thats the part im not good at

18. anonymous

why?

19. anonymous

you can make it as easy or difficult as you like

20. anonymous

yeaa but i have no clue aout this. so i would know how to even make an equation or solve it :/

21. anonymous

just put some in the form of $\frac{ x ^{a} }{ x ^{b} }$ a and b can be whatever number you like

22. anonymous

just make them different numbers

23. anonymous

@mikaa_toxica13

24. anonymous

sory. i was preoccupied. u know with what lol. something like x^5 over x^7 ?

25. anonymous

@MATTW20

26. anonymous

okay so now you use the formula i showed you earlier $\frac{ x ^{a} }{ x ^{b} }=x ^{a-b}$ just substitute a for 5 and b for 7

27. anonymous

so it would be x^5 --- = x^5-7 x^7

28. anonymous

which is $x ^{-2}$

29. anonymous

but what if we wanted the exponent to be positive?

30. anonymous

oh i thought it was supposed to be like 5 minus 7

31. anonymous

well what is 5-7?

32. anonymous

idk btw the second answer u gave me was wrong.

33. anonymous

sorry about that It's been a while since taking algebra. The answer is right but idk what you're instructor was looking for in the explanation.

34. anonymous

anyway the answer would be $x ^{-2}$ or if you like $\frac{ 1 }{ x ^{2} }$

35. anonymous

oh the 2nd overall answer. My fault i completely apologize. It would've been b.

36. anonymous

anyway good luck sorry about the mistake. I'm here to help if you need it

37. anonymous

i got it thanks maybe u should recheck your math

38. anonymous

yes ma'am