Solve for p 2p^4=162

$2 p^{4} = 162$

Divide each term in $2 p^{4} = 162$ by $2$ and simplify.

Divide each term in $2 p^{4} = 162$ by $2$ .

$\frac{2 p^{4}}{2} = \frac{162}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 p^{4}}{2} = \frac{162}{2}$

Divide $p^{4}$ by $1$ .

$p^{4} = \frac{162}{2}$

Simplify the right side.

Divide $162$ by $2$ .

$p^{4} = 81$

Take the 4th root of both sides of the equation to eliminate the exponent on the left side.

$p = \pm \sqrt[4]{81}$

Simplify $\pm \sqrt[4]{81}$ .

Rewrite $81$ as $3^{4}$ .

$p = \pm \sqrt[4]{3^{4}}$

Pull terms out from under the radical, assuming positive real numbers.

$p = \pm 3$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$p = 3$

Next, use the negative value of the $\pm$ to find the second solution.

$p = - 3$

The complete solution is the result of both the positive and negative portions of the solution.

$p = 3, - 3$