Question

help me please

Answer 1

\[\frac{ 5 }{ v ^{7} } = \frac{ }{ 3v ^{9} }\]

Answer 2

Fill in the blank to make equivalent rational expressions.

Answer 3

You had to multiply 5/v^7 by some fractional form of 1 to get something equivalent right?

Answer 4

yes

Answer 5

What times v^7 is 3v^9 ?

Answer 6

i have no ideal

Answer 7

v^a = v^b * v^c
when c+b= a

Answer 8

Does this make sense? This a rule for numbers with exponents.

Answer 9

i thinl i got it

Answer 10

So what times v^7 will get you v^9 ?

Answer 11

v*v*v*v*v*v*v multiplied by something with two more vs

Answer 12

yeah im lost

Answer 13

How about v*v

Answer 14

v^2

Answer 15

Yes

Answer 16

So they multiplied by 3v^2

Answer 17

They multiplied the denominator by 3v^2 you see

Answer 18

So what will you do to the numerator if they did that to the denominator in order for fraction to remain equivalent?

Answer 19

multiply top and bottom

Answer 20

Right you got it then?

Answer 21

i will see

Answer 22

What did you get?

Answer 23

radical 15 i think i did something wrong

Answer 24

Refer to the Mathematica attachment.

Answer 25

yeah im lost again

Answer 26

You multiplied 5*3, that was right, but also the bottom is multiplied by v^2 so the top must also be multiplied by v^2

Answer 27

After that you can simplify

Answer 28

no solution ?

Answer 29

Cross multiply and then solve for x.

Answer 30

but in this case, they probably don't won't you to simplify... They just want the blank.. So what is 5*3v^2?

Answer 31

5(3 v^9) = x v^7

Answer 32

15v^2

Answer 33

The numerator on the RHS is 15 v^2

Answer 34

So that's your answer. Notice that the fraction was then multiplied by (3v^2/3v^2) or 1 so the fractions are equivalent although they are represented differently?