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)