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anonymous

  • one year ago

what is 2 4/3 equal to? the answer must be in square root form

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  1. jdoe0001
    • one year ago
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    hmmm sounds what do they mean by "square root form"? that could mean anything

  2. anonymous
    • one year ago
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    like the answer is an exponent and then there's a radical and then it has a base in the radical

  3. anonymous
    • one year ago
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    \[2^\frac{ 4 }{3 }\]?

  4. anonymous
    • one year ago
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    |dw:1442875830908:dw|

  5. anonymous
    • one year ago
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    yes

  6. jdoe0001
    • one year ago
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    actually, got the colors backwards there =) \(\Large { a^{\frac{{\color{blue} n}}{{\color{red} m}}} \implies \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad \sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}\qquad thus \\ \quad \\ 2^{\frac{{\color{blue}{ 4}}}{{\color{red}{ 3}}}}\implies ? }\)

  7. anonymous
    • one year ago
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    so ^4 sqrt 2^3 ?

  8. anonymous
    • one year ago
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    and then what's after that

  9. jdoe0001
    • one year ago
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    hmmm the numerator is the exponent the denominator is the root

  10. jdoe0001
    • one year ago
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    \(\large { \sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}\qquad thus \\ \quad \\ 2^{\frac{{\color{blue}{ 4}}}{{\color{red}{ 3}}}}\implies \sqrt[{\color{red}{ 3}}]{2^{{\color{blue}{ 4}}}}\implies \sqrt[3]{2\cdot 2\cdot 2\cdot 2\cdot 2}\implies \sqrt[3]{2^3\cdot 2^1}\implies 2\sqrt[3]{2} }\)

  11. jdoe0001
    • one year ago
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    hmm actuallly, I have an extra 2 there =) \(\large { \sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}\qquad thus \\ \quad \\ 2^{\frac{{\color{blue}{ 4}}}{{\color{red}{ 3}}}}\implies \sqrt[{\color{red}{ 3}}]{2^{{\color{blue}{ 4}}}}\implies \sqrt[3]{2\cdot 2\cdot 2\cdot 2}\implies \sqrt[3]{2^3\cdot 2^1}\implies 2\sqrt[3]{2} }\)

  12. anonymous
    • one year ago
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    oh so it'd be 3 sqrt 16

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