What rational number could be used as an exponent to rewrite 23−−√4

Question

? (Hint: what should go in the yellow box)(1 point)
The exponent could be written as

Answer 1

To rewrite \( \sqrt[4]{23} \) using a rational number as an exponent, we need to express the fourth root in terms of exponentiation.

The fourth root of a number can be written as that number raised to the power of \( \frac{1}{4} \). Therefore, we can express \( \sqrt[4]{23} \) as:

\[ 23^{\frac{1}{4}} \]

So the rational number that could be used as an exponent to rewrite \( \sqrt[4]{23} \) is \( \frac{1}{4} \).