## Firejay5 Group Title Simplify. 30. 2x^2(6y^3)(2x^2y) 32. −5x3y3z420x3y−4z4 one year ago one year ago

1. Firejay5 Group Title

$\frac{ -5x^3y^3z^4 }{ 20x^3y^7z^4 }$

2. Firejay5 Group Title

Is #32

3. Sheng Group Title

|dw:1350606375165:dw|

4. Sheng Group Title

y^4 * 128 = -1 y^4 = -1/128 take 4th root for answer

5. Firejay5 Group Title

what number are you doing 30 or 32

6. Firejay5 Group Title

This is monomials

7. tjones89 Group Title

$-\frac{ 5x^2y^3z^4 }{ 20x^3y^7z^4 } = -\frac{ 5 }{ 20 }\times \frac{ x^2 }{ x^3 }\times \frac{ y^3 }{ y^7 }\times \frac{ z^4 }{ z^4}$

8. tjones89 Group Title

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

9. tjones89 Group Title

$= x ^{-1} = \frac{ 1 }{ x }$

10. tjones89 Group Title

use these steps for each one of those terms: $\frac{ y^3 }{ y^7 }$ $\frac{ z^4 }{ z^4 }$ and then put them all together

11. Firejay5 Group Title

I got $\frac{ - 1 }{ 4 }$ x^1y^4z^1

12. Firejay5 Group Title

is that it

13. Sheng Group Title

oh i thought you mean whole equation = 32... then answer is just -1/4y^4

14. Sheng Group Title

all the x terms, z terms cancel

15. tjones89 Group Title

not quite, the exponents on x and y should be negative, or you should put them in the denominator of your final answer like this $-\frac{ 1 }{ 4xy^4 }$ or $-\frac{ x ^{-1}y ^{-4} }{ 4 }$

16. tjones89 Group Title

and yes $\frac{ z ^{4} }{ z^4 } = 1$ so it cancels

17. Firejay5 Group Title

you can divide the exponents or subtract the exponents or both whenever you divide a fraction

18. tjones89 Group Title

another way to look at dividing variables with exponents...|dw:1350609282625:dw|

19. Sheng Group Title

the x exponents cancel, why are you leaving them in? it's not a 2 on top, it's x^3

20. Firejay5 Group Title

@tjones89 Actually both x's are 3s just looks like its a 2

21. tjones89 Group Title

hah you're right, its really small print...

22. Firejay5 Group Title

yes so x's would be x^1 or x^0

23. tjones89 Group Title

x^2/x^2 = x^2-2 = x^0 = 1

24. Firejay5 Group Title

x^3/x^3 = x^1 or X^3 - x^3 = 0

25. Firejay5 Group Title

x^0

26. tjones89 Group Title

did you mean to put divide instead of subtract for x^3 - x^3?

27. Firejay5 Group Title

you can divide or subtract depending on the number

28. Firejay5 Group Title

like if it's the same you divide and if its different you subtract the big from little( 8-5)