Question

Select the correct answer from each drop-down menu.

A 4
7
15


B 15
4
7


C 15
7
4

Answer 1

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

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Explanation:

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Note the property for square roots in exponential form:

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

{
`a\\eq 0` ;
`[a^((b/c))]\\eq 0` ;
`c\\eq 0` .}.

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As such, given:

→
`\sqrt[4]{(15^7)}` ;

a = 15, b = 7, c = 4 .

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

→ which corresponds to:

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Answer choice: [C]: "
`15^((7/4))` " .

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Hope this helps!

Wishing you well in your academic endeavors!

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