Solve for: v^6-46656=0

Expression: ${v}^{6}-46656=0$

Move the constant to the right-hand side and change its sign

${v}^{6}=46656$

Take the root of both sides of the equation and remember to use both positive and negative roots

$v=6$

Write the solutions, one with a $+$ sign and one with a $-$ sign

$\begin{array} { l }v=-6,\\v=6\end{array}$

The equation has $2$ solutions

$\begin{array} { l }v_1=-6,& v_2=6\end{array}$