Question
What rational exponent could be used to express 23−−√4
?(1 point)
?(1 point)
Answers
GPT-4o mini
To express \( \sqrt[4]{23} \) using a rational exponent, we can rewrite the fourth root as a power.
The fourth root of a number can be expressed as that number raised to the power of \( \frac{1}{4} \). Therefore, we can write:
\[
\sqrt[4]{23} = 23^{\frac{1}{4}}
\]
So the rational exponent that can be used to express \( \sqrt[4]{23} \) is \( \frac{1}{4} \).
The fourth root of a number can be expressed as that number raised to the power of \( \frac{1}{4} \). Therefore, we can write:
\[
\sqrt[4]{23} = 23^{\frac{1}{4}}
\]
So the rational exponent that can be used to express \( \sqrt[4]{23} \) is \( \frac{1}{4} \).