Respuesta :

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[tex] 6^{3} [/tex]
[tex] 216^{1} [/tex]
[tex]46656^{ \frac{1}{2} } [/tex]

Answer with explanation:

We have to write three equivalent expressions which on evaluating gives the value as: 216.

  • The first expression is:

[tex]6^3[/tex]

since,

[tex]6^3=6\times 6\times6=216[/tex]

  • The second expression is:

[tex]2^3\times 3^3[/tex]

Since,

[tex]2^3\times 3^3=2\times 2\times 2\times 3\times 3\times 3\\\\=8\times 27\\\\=216[/tex]

  • The third equivalent expression is:

[tex]216^1[/tex]

since,

[tex]216^1=216[/tex]