Question

question
write the expression in exponential form.
\sqrt7{x^4}
answer attempt 2 out of 3

Explanation:

Step1: Recall the root to exponent rule

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

Step2: Apply the rule to the given expression

For the expression \( \sqrt[7]{x^4} \), here \( n = 7 \) and \( m = 4 \). So using the rule \( \sqrt[n]{a^m}=a^{\frac{m}{n}} \), we substitute \( a = x \), \( m = 4 \) and \( n=7 \). So we get \( x^{\frac{4}{7}} \).

Answer:

\( x^{\frac{4}{7}} \)