## mikaa_toxica13 2 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. MATTW20

c

2. mikaa_toxica13

explain @MATTW20

3. MATTW20

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. NickR

1/exponent is the same as -exponent/1

5. mikaa_toxica13

cann u help with a few others ? its short

6. MATTW20

sure

7. mikaa_toxica13

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. MATTW20

a

9. MATTW20

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

10. mikaa_toxica13

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. MATTW20

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

12. mikaa_toxica13

@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. MATTW20

|dw:1362510116798:dw|

14. MATTW20

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. mikaa_toxica13

thank u !!!!!

16. MATTW20

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

17. mikaa_toxica13

thats the part im not good at

18. MATTW20

why?

19. MATTW20

you can make it as easy or difficult as you like

20. mikaa_toxica13

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

21. MATTW20

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

22. MATTW20

just make them different numbers

23. MATTW20

@mikaa_toxica13

24. mikaa_toxica13

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

25. mikaa_toxica13

@MATTW20

26. MATTW20

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. mikaa_toxica13

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

28. MATTW20

which is $x ^{-2}$

29. MATTW20

but what if we wanted the exponent to be positive?

30. mikaa_toxica13

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

31. MATTW20

well what is 5-7?

32. mikaa_toxica13

idk btw the second answer u gave me was wrong.

33. MATTW20

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. MATTW20

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

35. MATTW20

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

36. MATTW20

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

37. mikaa_toxica13

i got it thanks maybe u should recheck your math

38. MATTW20

yes ma'am