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anonymous

  • one year ago

Rewrite in simplest radical form x^5/6 divided by x^1/6

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  1. Nnesha
    • one year ago
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    when we divide same base , `subtract` their exponents \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\]

  2. anonymous
    • one year ago
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    Do you subtract both the bottom number and the top number or just the top one?

  3. Nnesha
    • one year ago
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    just subtract their exponents top exponent `minus` bottom exponents base would stay the same

  4. anonymous
    • one year ago
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    .67

  5. Nnesha
    • one year ago
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    hmm we need to write it in radical form so keep the fraction

  6. anonymous
    • one year ago
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    How?

  7. Nnesha
    • one year ago
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    how did you get .67 ??

  8. Nnesha
    • one year ago
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    i mean what did you subtract to get .67 what did you type into the calculator ?

  9. anonymous
    • one year ago
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    I subtract 5/6 from 1/6

  10. Nnesha
    • one year ago
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    yes so \[\huge\rm \frac{ 5 }{ 6 }-\frac{ 1 }{ 6 }\] what's the common denominator ?

  11. anonymous
    • one year ago
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    6

  12. anonymous
    • one year ago
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    x^4/6?

  13. Nnesha
    • one year ago
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    yes right so since the denominator of both fraction are the same \[\frac{ 5-1 }{ 6 }\] so you can just subtract the numbers in the numerator

  14. Nnesha
    • one year ago
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    yes right reduce the fraction

  15. anonymous
    • one year ago
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    x^2/3?

  16. Nnesha
    • one year ago
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    yes right now apply the exponent rule to convert into radical form \[\huge\rm \sqrt[n]{x^m}=x^\frac{ m }{ n}\]

  17. anonymous
    • one year ago
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    \[\sqrt[3]{x ^{2}}\]

  18. Nnesha
    • one year ago
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    looks good

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