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haileemackk

  • 3 years ago

Simplify: a^7 b^8 /a^4b^4 Would the answer be a11/b12? For some reason, I had the idea that you were always supposed to add the exponents. But since this is division would you subtract the exponents instead?

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  1. Callisto
    • 3 years ago
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    \[\frac{x^a}{x^b}=x^{a-b}\]

  2. Callisto
    • 3 years ago
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    Reason: \[x^a \cdot x^b = x^{a+b}\]\[\frac{1}{x^b} = x^{-b}\] So, \[\frac{x^a}{x^b} = x^a \frac{1}{x^b} = x^{a} \cdot x^{-b}=x^{a+(-b)}=x^{a-b}\]

  3. Callisto
    • 3 years ago
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    For the answers to your questions, it is not a^11 / b^12. When it is division, you will do subtraction for the power of the same base.

  4. haileemackk
    • 3 years ago
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    Thanks for explaining it - I was trying to write it all down! :)

  5. Callisto
    • 3 years ago
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    :O You're welcome!

  6. jedai17
    • 3 years ago
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    the answer is a^3b^4

  7. jedai17
    • 3 years ago
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    if it's a fraction you just deduct the exponent of the numerator to the exponent of the denominator..

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