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mindreader67 Group Title

(-6) with exponent of 12 times (-6) with exponent of 5 times (-6) with exponent of 2?

  • one year ago
  • one year ago

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  1. jollysailorbold Group Title
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    Hi, welcome to openstudy:) When you multiply a power with the same base, you just add the exponenets together. In this case: \[-6^{12} \times -6^5 \times -6^2\] you would add 12 by 5 by 2: \[(-6)^{12+5+2}\] Can you do the rest from here?

    • one year ago
  2. jollysailorbold Group Title
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    Can you add the exponents?

    • one year ago
  3. mindreader67 Group Title
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    yes but the -6's are all in perentheses does that mean anything ?

    • one year ago
  4. jollysailorbold Group Title
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    Not really. You would get \[(-6)^{19}\] You see, it's okay if it's a negative, because all three of them are negative. They have to be exactly the same for you to be able to add the exponents like that :) Does that help?

    • one year ago
  5. mindreader67 Group Title
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    okay and if they weren't exactly the same what would u do? like say one of the -6's is a 4

    • one year ago
  6. jollysailorbold Group Title
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    The parentheses just indicate that the negative is part of the 6, so that it isn't confused with a subtraction sign. If one of the -6's was a 4, lets say \[(−6)^{12} × (−6)^{5} × (4)^2\] Then it would be \[(−6)^{12+5} × (4)^2\] or just \[(−6)^{17} × (4)^2\] To simplify further, you add the powers together and multiply the bases, so \[(−6)^{17} × (4)^2 = -24^{19} \]

    • one year ago
  7. jollysailorbold Group Title
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    Does that make sense?

    • one year ago
  8. jollysailorbold Group Title
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    Yes? No? I hope this helped :)

    • one year ago
  9. mindreader67 Group Title
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    ohhhh okay

    • one year ago
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