Question

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

Answer 1

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

Answer 2

@iGreen

Answer 3

We can flip the 2nd fraction and multiply..

Answer 4

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

Answer 5

Then multiply the numerators and denominators together.

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

yeah i think so

Answer 11

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

Answer 12

Hold on

Answer 13

k

Answer 14

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

Answer 15

8 / 4 = ?

Answer 16

2

Answer 17

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

Answer 18

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

Answer 19

8y^5 / 3x^8

Answer 20

Check again

Answer 21

\(\sf 8\) is correct, but \(\sf 3\) is not..

Answer 22

would it be 5

Answer 23

Yes.

Answer 24

ok

Answer 25

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

Answer 26

okay np give me a sec o do that plz

Answer 27

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

Answer 28

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

Answer 29

Yep, you got it.

Answer 30

thnx