Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question write the expression in exponential form. \\(\\sqrt5{x}\\) ans…

Question

question
write the expression in exponential form.
\\(\sqrt5{x}\\)
answer attempt 1 out of 2
text box submit answer

Explanation:

Step1: Recall the radical to exponential rule

The nth root of a number \( a \) can be written as \( a^{\frac{1}{n}} \), that is \( \sqrt[n]{a}=a^{\frac{1}{n}} \).

Step2: Apply the rule to \( \sqrt[5]{x} \)

Here, \( n = 5 \) and \( a=x \), so by the above rule, \( \sqrt[5]{x}=x^{\frac{1}{5}} \).

Answer:

\( x^{\frac{1}{5}} \)