## anonymous one year ago What is the simplified form of 24 y to the fifth power over 15 x to the eighth power divided by 8 y squared over 4 x to the fourth power ? 4 y cubed over 5 x to the fourth power 4 y to the fourth power over 5 x cubed 5 x to the fourth power over 4 y cubed 5 x cubed over 4 y to the fourth powerus 3y

1. anonymous

$\frac{ 24y ^{5} }{ 15x ^{8} } \div \frac{ 8y ^{2} }{ 4x ^{4} }$

2. anonymous

@iGreen

3. iGreen

We can flip the 2nd fraction and multiply..

4. iGreen

$$\sf \dfrac{24y^5}{14x^8} \div \dfrac{8y^2}{4x^4} \rightarrow \dfrac{24y^5}{14x^8} \times \dfrac{4x^4}{8y^2}$$

5. iGreen

Then multiply the numerators and denominators together. $$\sf \dfrac{24y^5}{14x^8} \times \dfrac{4x^4}{8y^2} \rightarrow \dfrac{24y^5 \times 4x^4}{14x^8 \times 8y^2}$$

6. anonymous

okay then what? do u have to cross multiply or horizontally multiply

7. iGreen

I just showed you, we do it horizontally..we only cross multiply when we have an equal sign between the fractions.

8. iGreen

Can you simplify $$\sf \dfrac{24y^5 \times 4x^4}{14x^8 \times 8y^2}$$ ?

9. anonymous

yeah but non of those are my nswer choies can you simplify it even further if possible?

10. anonymous

yeah i think so

11. anonymous

but how would you simplify it further because i know you can reduce it

12. iGreen

Hold on

13. anonymous

k

14. iGreen

Okay, first we divide the numbers on the second fraction, $$\sf \dfrac{8y^2}{4x^4}$$.

15. iGreen

8 / 4 = ?

16. anonymous

2

17. iGreen

Yes, so we have $$\sf\dfrac{2y^2}{x^4}$$.

18. iGreen

Now simplify $$\sf\dfrac{24}{15}$$ from $$\sf\dfrac{24y^5}{15x^8}$$.

19. anonymous

8y^5 / 3x^8

20. iGreen

Check again

21. iGreen

$$\sf 8$$ is correct, but $$\sf 3$$ is not..

22. anonymous

would it be 5

23. iGreen

Yes.

24. anonymous

ok

25. iGreen

So we have: $$\sf \dfrac{8y^5}{5x^8} \div \dfrac{2y^2}{x^4}$$..now we cross multiply(I was wrong earlier..lol)

26. anonymous

okay np give me a sec o do that plz

27. anonymous

would it be 8y^5 x^4 / 5x^8 2y^2

28. anonymous

but if we simplify it would the final answer be $\frac{ 4y^3 }{ 5x^4 }$

29. iGreen

Yep, you got it.

30. anonymous

thnx