Question

Select the correct answer from each drop-down menu.

Answer 1

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

____________________________________

Step-by-step explanation:

____________________________________

Note the property for square roots in exponential form:

_____________________________________

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

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

_____________________________________

As such, given:

     →    $\sqrt[4]{(15^7)}$ ;  

  a = 15,  b = 7,  c = 4 .

     

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

     →  which corresponds to:

_____________________________________

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

_____________________________________

Hope this helps!

  Wishing you well in your academic endeavors!

_____________________________________