Question
Use radical notation to rewrite the following expression. Simplify, if possible.
left parenthesis negative 1024 right parenthesis Superscript two fifths
Question content area bottom
Part 1
Rewrite the expression using radical notation.
left parenthesis negative 1024 right parenthesis Superscript two fifths
equals
enter your response here
(Do not simplify. Type an exact answer, using radicals as needed.)
left parenthesis negative 1024 right parenthesis Superscript two fifths
Question content area bottom
Part 1
Rewrite the expression using radical notation.
left parenthesis negative 1024 right parenthesis Superscript two fifths
equals
enter your response here
(Do not simplify. Type an exact answer, using radicals as needed.)
Answers
GPT-4o mini
To rewrite the expression \((-1024)^{\frac{2}{5}}\) using radical notation, we can use the following equivalence:
\[
a^{\frac{m}{n}} = \sqrt[n]{a^m}
\]
In this case, we can rewrite \((-1024)^{\frac{2}{5}}\) as:
\[
(-1024)^{\frac{2}{5}} = \sqrt[5]{(-1024)^2}
\]
So the expression in radical notation is:
\[
\sqrt[5]{(-1024)^2}
\]
This is the exact answer, without simplification.
\[
a^{\frac{m}{n}} = \sqrt[n]{a^m}
\]
In this case, we can rewrite \((-1024)^{\frac{2}{5}}\) as:
\[
(-1024)^{\frac{2}{5}} = \sqrt[5]{(-1024)^2}
\]
So the expression in radical notation is:
\[
\sqrt[5]{(-1024)^2}
\]
This is the exact answer, without simplification.