Question

x^6a x^2/ x^2a please help me, I will give you a shiny medal! I keep getting different answers

Answer 1

This is the problem given to you?

\[\Large \frac{x^6*a*x^2}{x^2*a}\]

Answer 2

Or is it this?
\[\Large \frac{x^{6a}*x^2}{x^{2a}}\]

Answer 3

the second one :D

Answer 4

ok the first thing we do is simplify the stuff up top

Answer 5

focus on just \[\Large x^{6a}*x^2\] for now

Answer 6

when we multiply exponential expressions with the same base, we add the exponents, so

\[\Large x^{6a}*x^2 = x^{6a+2}\]

Answer 7

making
\[\Large \frac{x^{6a}*x^2}{x^{2a}}\]
turn into
\[\Large \frac{x^{6a+2}}{x^{2a}}\]

Answer 8

ooh, I thought we did 6a -2a first and then add 2 . so its 6a+2 - 2a?

Answer 9

You could do that. I find it easier to simplify the numerator first. There are two ways to do this problem

Answer 10

so its x^6a+2/x^2a?

Answer 11

Now subtract exponents
\[\Large \frac{x^{6a+2}}{x^{2a}}=x^{(6a+2)-(2a)}\]
\[\Large \frac{x^{6a+2}}{x^{2a}}=x^{6a+2-2a}\]
\[\Large \frac{x^{6a+2}}{x^{2a}}=x^{6a-2a+2}\]
\[\Large \frac{x^{6a+2}}{x^{2a}}=x^{4a+2}\]

Answer 12

btw, when you want to say something like \(\Large x^{6a+2}\) make sure to use parenthesis and write x^(6a+2)

saying x^6a+2 is a bit vague and it's hard to tell which is in the exponent or not

Answer 13

ahh I see now!, so we subtract from below since it's a division problem which is: division -> subtraction

Answer 14

And I didn't know about the parenthesis rule, thank you so much! :D

Answer 15

yes, because of these exponent rules

http://www.onlinemathlearning.com/image-files/xari121.gif.pagespeed.ic.vFV2Lan_oa.png

rule 1 and rule 2

Answer 16

you're welcome

Answer 17

thanks again :D