Question

Use radical notation to rewrite the following expression.​ Simplify, if possible.
9 Superscript three halves
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Part 1
Rewrite the expression using radical notation.
9 Superscript three halves
equals
  
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​(Do not simplify. Type an exact​ answer, using radicals as​ needed.)

Answer 1

To rewrite \( 9^{\frac{3}{2}} \) using radical notation, we can follow the laws of exponents which state that \( a^{\frac{m}{n}} = \sqrt[n]{a^m} \).

For the expression \( 9^{\frac{3}{2}} \):

1. The base is 9, which can be rewritten as \( 9^{\frac{3}{2}} \).
2. This can be expressed as \( \sqrt{9^3} \).

Thus, in radical notation, \( 9^{\frac{3}{2}} \) can be written as:

\[
\sqrt{9^3}
\]

So, your final answer is:

\(\sqrt{9^3}\)