Which is equivalent to RootIndex 5 StartRoot 1,215 EndRoot Superscript x?
Choices: A:243x
B:1,215 Superscript one-fifth x
C:1,215 Superscript StartFraction 1 Over 5 x EndFraction
D:243 Superscript StartFraction 1 Over x EndFraction

Respuesta :

Answer:

The equivalent expression will be 1,215 Superscript one-fifth x

Step-by-step explanation:

The given expression is Root Index 5 Start Root 1,215 End Root Superscript x i.e. [tex](\sqrt[5]{1215} )^{x}[/tex] and we have to find the equivalent expression from options.

Now, [tex](\sqrt[5]{1215} )^{x}[/tex] can be written as [tex](1215)^{\frac{x}{5} }[/tex].

Since we know that [tex]\sqrt[n]{x}[/tex] can be written using the properties of exponent as [tex]x^{\frac{1}{n}}[/tex]

So, the equivalent expression will be 1,215 Superscript one-fifth x i.e. [tex](1215)^{\frac{x}{5} }[/tex]. (Answer)

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