Respuesta :

Answer:

[tex]a^n=x[/tex]

Step-by-step explanation:

The complete question is in the attachment.

We want to find an expression that is equivalent to: [tex]\sqrt[n]{x} =a[/tex]

Note that: [tex]\sqrt[n]{x} =x^{\frac{1}{n} }[/tex]

This implies that:

[tex]x^{\frac{1}{n}}=a[/tex]

Or

[tex]x^{\frac{1}{n}}=a^1[/tex]

[tex]x^{\frac{1}{n}*n}=a^{1*n}[/tex]

This simplifies to:

[tex]x=a^n[/tex]

Answer: The answer is X^n = a

Step-by-step explanation:

Got it right!