Question

Use radical notation to rewrite the following expression.​ Simplify, if possible.
left parenthesis negative 1000 right parenthesis Superscript two thirds
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Part 1
Rewrite the expression using radical notation.
left parenthesis negative 1000 right parenthesis Superscript two thirds
equals
  
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​(Do not simplify. Type an exact​ answer, using radicals as​ needed.)

Answer 1

To rewrite the expression \(( -1000)^{\frac{2}{3}}\) using radical notation, we follow the rule that \(a^{\frac{m}{n}} = \sqrt[n]{a^m}\).

In this case, we can express \(( -1000)^{\frac{2}{3}}\) as:

\[
\left(-1000\right)^{\frac{2}{3}} = \sqrt[3]{\left(-1000\right)^{2}}
\]

This means that the expression in radical notation is:

\[
\sqrt[3]{(-1000)^2}
\]

So the final answer is:

\[
\sqrt[3]{(-1000)^{2}}
\]