Question

Use radical notation to rewrite each expression and simplify 9 3/2

Answer 1

Answer:

  $9^{\frac{3}{2}}=\sqrt{9^3}=27$

Step-by-step explanation:

The fractional exponent m/n is often translated to radical form as ...

  $x^{\frac{m}{n}}=\sqrt[n]{x^m}$

In this case, I find it easier to evaluate as ...

  $x^{\frac{m}{n}}=(\sqrt[n]{x})^m=\boxed{(\sqrt{9})^3=3^3=27}$