Question

The bottom number. I need written in a way where there is no number above the square root symbol. (The number 3 that’s above the square root symbol) I need it like simplified to where there is no number above the square root symbol

Answer 1

`-8\sqrt[3]{63}\Rightarrow(-8\sqrt[3]{63})^{(3)/(2)}=`

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

`\begin{gathered} ^{} \\ (-8\sqrt[3]{63})^{(3)/(2)}\Rightarrow(-8\cdot63^{(1)/(3)})^{(3)/(2)}=-8^{(3)/(2)}\cdot63^{(1)/(2)}=-8^{(3)/(2)}\sqrt[]{63} \end{gathered}`

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.