Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite root index 3 Start Root 5 End Root. using a rational exponent?

Answer 1

The expression \(\sqrt[3]{5}\) (root index 3 of 5) can be rewritten using a rational exponent. The general rule is that \(\sqrt[n]{a} = a^{1/n}\).

For your expression, we have:

\[ \sqrt[3]{5} = 5^{1/3} \]

So, \(\sqrt[3]{5}\) can be expressed as \(5^{1/3}\) using a rational exponent.