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

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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
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  • phi
\[ \frac{11^{-4} }{11^8} \]
yup

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Other answers:

  • phi
can you rewrite the 11^-4 so we get a +4 ? (remember how to do that ?)
yes we flip
i think it would be 1/11^4
  • phi
yes. so we now have \[ \frac{1}{11^4} \cdot \frac{1}{11^8} = \frac{1}{11^4\cdot 11^8}\]
yup
  • 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?
121
  • phi
?
you said when we multiply it together?
  • 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
oh woops lol sorry
  • phi
people use exponents to write that in short-hand. can you ?
umm idk what short hand is
  • phi
we have 11 times itself how many times ? 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11
12 times
  • phi
and how do we show that using exponents?
11^12?
  • phi
yes. notice that is easier to type than 11* 11*11*11 * 11* 11*11*11* 11* 11*11*11
way easier
ohhh thats the answer to
  • phi
so here is what you have \[ \frac{11^{-4} }{11^8}= \frac{ 1}{11^{4}\cdot 11^8}= \frac{1}{11^{12}} \]
yup
  • 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
mmmhhh
it takes up space ifyou write it out also
  • 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.
oh
ok
so the answer is 1/11^12
  • phi
yes and if they were being trick the answer could also be 11^(-12)
yuppp
thanks again and i have like 2 or 3 more if you can still help it would be great
  • phi
new post
ok

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