[tex]-8\sqrt[3]{63}\Rightarrow(-8\sqrt[3]{63})^{\frac{3}{2}}=[/tex]
1) We need to remember that a radical can be rewritten as a power.
2) So in this case, to rewrite it as a square root, we need to raise it to the 3/2 power so that we get an index of 2
[tex]\begin{gathered} ^{} \\ (-8\sqrt[3]{63})^{\frac{3}{2}}\Rightarrow(-8\cdot63^{\frac{1}{3}})^{\frac{3}{2}}=-8^{\frac{3}{2}}\cdot63^{\frac{1}{2}}=-8^{\frac{3}{2}}\sqrt[]{63} \end{gathered}[/tex]
3) Hence, if we raise it to the 3/2 exponent we can rewrite it as -8 raised to 3/2 times the square root of 63.
