Question

What rational number could be used as an exponent to rewrite ^4√23?(1 point)

Answer 1

can you make \(\sqrt[4]{23}\) is \(\frac{1}{4}\). into a real answer?

Answer 2

The expression \(\sqrt[4]{23}\) can be rewritten using exponents. The fourth root of a number can be expressed as that number raised to the power of \( \frac{1}{4} \). Therefore, we can rewrite \(\sqrt[4]{23}\) as:

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

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

Answer 3

Certainly! To express \(\sqrt[4]{23}\) as a decimal, we can first understand that it means "the number that, when raised to the power of 4, gives 23." In mathematical terms, we can find the fourth root by calculating:

\[
\sqrt[4]{23} = 23^{\frac{1}{4}}.
\]

To find a decimal approximation, we can use a calculator or a computational tool:

\[
\sqrt[4]{23} \approx 2.340.
\]

Thus, \(\sqrt[4]{23}\) is approximately \(2.340\) when calculated as a real number.