Question

What is the product in simplest form? State any restrictions on the variable.

Answer 1

(4a^5/7b^4) * (2b^2/2a^4)

Answer 2

@Hero

Answer 3

Rewrite like this:

\[\frac{4a^5 \dot\ 2b^2}{2a^4 \dot\ 7b^4}\]

Answer 4

ok and then?

Answer 5

do i just multiply accross?

Answer 6

Or you can work with each separately by re-writing like this:

\[\frac{4}{2} \dot\ \frac{a^5}{a^4} \dot\ \frac{2}{7} \dot\ \frac{b^2}{b^4}\]

Answer 7

so it would be 8ab^7??

Answer 8

for the top part?

Answer 9

No

Answer 10

wow thats confusing o.O

Answer 11

You already know how to reduce the numerical fractions.

Answer 12

You know that 4/2 = 2. You also know that 2/7 is already in simplest form and cannot be reduced any further

Answer 13

mhk

Answer 14

So for the numbers, you are just left with

\[2 \times \frac{2}{7} = \frac{4}{7}\]

Answer 15

For the variables, you have to use this rule:

\[\frac{a^y}{a^x} = a^{y - x}, y > x\]

\[\frac{b^x}{b^y} = \frac{1}{b^{y-x}}, x<y\]

Answer 16

So \[\frac{a^5}{a^4} = a^{5 - 4} = a^1 = a\]

\[\frac{b^2}{b^4} = \frac{1}{b^{4-2}} = \frac{1}{b^2}\]

Answer 17

thes are my multiple choice answers: 4a^9/7b^^6
4a/7b^2
7b^2/4a
4/7a^9b^6

Answer 18

\[\frac{4}{7} \times a \times \frac{1}{b^2} = \frac{4a}{7b^2}\]

Answer 19

alirght so B? Thanks! <3

Answer 20

You should learn how to do these on your own.