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Mathematics 16 Online
OpenStudy (anonymous):

Simplify

OpenStudy (anonymous):

|dw:1381334657185:dw|

OpenStudy (anonymous):

428 414 47 43

OpenStudy (anonymous):

Write it out 4 * 4 (DO that 21 times)

OpenStudy (anonymous):

252

OpenStudy (anonymous):

Or just subtract 7 from 21, then the exponential numbers and the base stays the same

OpenStudy (anonymous):

then 4(the exponent) and you'll get your answer

OpenStudy (anonymous):

I can't give you the answer, it's against open study rules...

OpenStudy (anonymous):

i really need help cause i have been getting the answers and never learned and now my teacher is goiung to be calling and asking questions

OpenStudy (anonymous):

please explain

OpenStudy (anonymous):

what's 21 - 7?

OpenStudy (anonymous):

wait how did u get 21?

OpenStudy (anonymous):

Okay, so when you do 4^21 over 4^7 I got 21 because that's the numerator in the monomial

OpenStudy (anonymous):

1. Subtract the exponents (21 - 7) 2. The base (4) stays the same 3. 4 (21-7) So what's 21 - 7?

OpenStudy (anonymous):

please need help understanding

OpenStudy (anonymous):

I'm just saying but maybe instead of getting answers on the internet ask your teacher for help because cheating never solves anything long term, which you can see now.

OpenStudy (anonymous):

im not cheating i want someone to explain to me like give me the walk through so i can aswer the rest by my self

OpenStudy (austinl):

\(\displaystyle \frac{a^n}{a^m}=a^{n-m}\)

OpenStudy (anonymous):

can u explain with words?

OpenStudy (austinl):

When you have a fraction with exponents, with like bases, you get the base to the top exponent minus the bottom exponent.

OpenStudy (anonymous):

Exponents are shorthand multiplication...so you're basically dividing 1 multiplication problem here by another multiplication problem. 4^21 is the same as saying 4x4x4... up to twenty one times. 4^7 is the same as saying 4x4x... up to seven times. So if you were to literally write that out you would see that the first seven 4's on the top of the equation and all of the 4's on the bottom cancel each other out. 4/4 = 1. So what you're left with is seven 1's on the top of the equation and fourteen (4x)'s. Since anything multiplied by 1 is that number, it's not necessary to keep the ones. so you're left with 4^14 on the top of the division equation and 1 on the bottom, which is exactly the same as saying 4^14

OpenStudy (anonymous):

thank you so much @mightBEyourTEACHER you have been a big help :)

OpenStudy (anonymous):

Oh, thanks, I didn't help...

OpenStudy (anonymous):

for the sake of clarity = change all of the x's in my previous comment to *'s they are operations, not variables

OpenStudy (austinl):

@mightBEyourTEACHER This is why \(\LaTeX\) is a wonderful thing. I suggest visiting the help area for it to familiarize yourself with it.

OpenStudy (anonymous):

please be nice thats one of the first rules in the CoC and Yes @raimj512 you did help alot thank you :)

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