Algebra Examples

$4 x^{5} = 128$

Step 1

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

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Step 1.1

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

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

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $4$ .

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Step 1.2.1.1

Cancel the common factor.

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

Step 1.2.1.2

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

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

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $128$ by $4$ .

$x^{5} = 32$

Step 2

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

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

Step 3

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

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Step 3.1

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

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

Step 3.2

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

$x = 2$