Solve for x 4x^5=128

$4 x^{5} = 128$

Step 1

Divide each term in $4 x^{5} = 128$ by $4$ and simplify.

Divide each term in $4 x^{5} = 128$ by $4$ .

$\frac{4 x^{5}}{4} = \frac{128}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x^{5}}{4} = \frac{128}{4}$

Divide $x^{5}$ by $1$ .

$x^{5} = \frac{128}{4}$

Simplify the right side.

Divide $128$ by $4$ .

$x^{5} = 32$

Step 2

Take the 5th root of both sides of the equation to eliminate the exponent on the left side.

$x = \sqrt[5]{32}$

Step 3

Simplify $\sqrt[5]{32}$ .

Rewrite $32$ as $2^{5}$ .

$x = \sqrt[5]{2^{5}}$

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

$x = 2$