3psilon
  • 3psilon
Why is 3^20 + 3^20 + 3^20 == 3^21 ??!? I'm so confused
Mathematics
jamiebookeater
  • jamiebookeater
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TuringTest
  • TuringTest
3^20+3^20+3^20 combine like terms... =3(3^20)=3^(20+1)=3^21
anonymous
  • anonymous
|dw:1344353759006:dw|
TuringTest
  • TuringTest
@3psilon let me know if you still don't get it...

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3psilon
  • 3psilon
So you're factoring out the 3?
3psilon
  • 3psilon
Not sure how you go tto 3^(20+1)
TuringTest
  • TuringTest
no, I am combining like terms call\[(3^{20})=x\]we then have\[(3^{20})+(3^{20})+(3^{20})=x+x+x=3x\]sub back in what we know x is...\[3x=3(3^{20})\]now we use the property\[x^a\cdot x^b=x^{a+b}\]and get\[3(3^{20})=3^1\cdot3^{20}=3^{20+1}=3^{21} \]
3psilon
  • 3psilon
OHHHH
3psilon
  • 3psilon
Yes! I thought I got it last night, but then I saw this problem and was embarrassed to ask again. Thank you turing
TuringTest
  • TuringTest
very welcome! please never be too embarrassed to ask
3psilon
  • 3psilon
I won't! You will see me more often! haahaha have a good one

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