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3psilon

  • 3 years ago

Why is 3^20 + 3^20 + 3^20 == 3^21 ??!? I'm so confused

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  1. TuringTest
    • 3 years ago
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    3^20+3^20+3^20 combine like terms... =3(3^20)=3^(20+1)=3^21

  2. answereverything
    • 3 years ago
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    |dw:1344353759006:dw|

  3. TuringTest
    • 3 years ago
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    @3psilon let me know if you still don't get it...

  4. 3psilon
    • 3 years ago
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    So you're factoring out the 3?

  5. 3psilon
    • 3 years ago
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    Not sure how you go tto 3^(20+1)

  6. TuringTest
    • 3 years ago
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    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\[3(3^{20})=3^1\cdot3^{20}=3^{20+1}=3^{21} \]

  7. 3psilon
    • 3 years ago
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    OHHHH

  8. 3psilon
    • 3 years ago
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    Yes! I thought I got it last night, but then I saw this problem and was embarrassed to ask again. Thank you turing

  9. TuringTest
    • 3 years ago
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    very welcome! please never be too embarrassed to ask

  10. 3psilon
    • 3 years ago
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    I won't! You will see me more often! haahaha have a good one

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