Mathematics

Question

Select the correct answer from each drop-down menu.

A 4
7
15


B 15
4
7


C 15
7
4
Select the correct answer from each drop-down menu. A 4 7 15 B 15 4 7 C 15 7 4

1 Answer

  • Answer:   The correct answer is:   [C]:  "  [tex]15^{(7/4)}[/tex] " .

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    Step-by-step explanation:

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    Note the property for square roots in exponential form:

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         →    [tex]\sqrt[a]{(b)^ c}[/tex]  ;  ↔  b[tex]b^{(c/a)}[/tex] ;

        { [tex]a\neq 0[/tex] ; [tex][a^{(b/c)}]\neq 0[/tex] ; [tex]c\neq 0[/tex]  .}.

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    As such, given:

         →    [tex]\sqrt[4]{(15^7)}[/tex] ;  

      a = 15,  b = 7,  c = 4 .

         

         →    [tex]\sqrt[4]{(15^7)}[/tex] ;   ↔  [tex]15^{(7/4)}[/tex] ;

         →  which corresponds to:

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    Answer choice:  [C]:  "  [tex]15^{(7/4)}[/tex] " .

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    Hope this helps!

      Wishing you well in your academic endeavors!

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