anonymous
  • anonymous
Simplify 11 to the negative 4th power over 11 to the 8th power. 1 over 11 to the 12th power 1 over 11 to the 4th power 114 1112
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@phi
phi
  • phi
\[ \frac{11^{-4} }{11^8} \]
anonymous
  • anonymous
yup

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phi
  • phi
can you rewrite the 11^-4 so we get a +4 ? (remember how to do that ?)
anonymous
  • anonymous
yes we flip
anonymous
  • anonymous
i think it would be 1/11^4
phi
  • phi
yes. so we now have \[ \frac{1}{11^4} \cdot \frac{1}{11^8} = \frac{1}{11^4\cdot 11^8}\]
anonymous
  • anonymous
yup
phi
  • phi
11^4 means 11* 11*11*11 11^8 means 11*11*11*11* 11*11*11*11 what do we get when we multiply that all together?
anonymous
  • anonymous
121
phi
  • phi
?
anonymous
  • anonymous
you said when we multiply it together?
phi
  • phi
I don't mean multiply it out and get a number. just show them being multiplied like this 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11
anonymous
  • anonymous
oh woops lol sorry
phi
  • phi
people use exponents to write that in short-hand. can you ?
anonymous
  • anonymous
umm idk what short hand is
phi
  • phi
we have 11 times itself how many times ? 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11
anonymous
  • anonymous
12 times
phi
  • phi
and how do we show that using exponents?
anonymous
  • anonymous
11^12?
phi
  • phi
yes. notice that is easier to type than 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11
anonymous
  • anonymous
way easier
anonymous
  • anonymous
ohhh thats the answer to
phi
  • phi
so here is what you have \[ \frac{11^{-4} }{11^8}= \frac{ 1}{11^{4}\cdot 11^8}= \frac{1}{11^{12}} \]
anonymous
  • anonymous
yup
phi
  • phi
you should notice that 11^4 * 11^8 means 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11 but it is faster to say: 4 11's and 8 11's is 12 11's in other words, notice the short cut: 4+8 =12 11^4 * 11^8 = 11^12
anonymous
  • anonymous
mmmhhh
anonymous
  • anonymous
it takes up space ifyou write it out also
phi
  • phi
the thing you should try to remember is when multiplying, you can add the exponents. that is the short cut they want you to learn.
anonymous
  • anonymous
oh
anonymous
  • anonymous
ok
anonymous
  • anonymous
so the answer is 1/11^12
phi
  • phi
yes and if they were being trick the answer could also be 11^(-12)
anonymous
  • anonymous
yuppp
anonymous
  • anonymous
thanks again and i have like 2 or 3 more if you can still help it would be great
phi
  • phi
new post
anonymous
  • anonymous
ok

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