Calculus Examples

$x^{3} = 320$

Step 1

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

$x = \sqrt[3]{320}$

Step 2

Simplify $\sqrt[3]{320}$ .

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Step 2.1

Rewrite $320$ as $4^{3} \cdot 5$ .

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Step 2.1.1

Factor $64$ out of $320$ .

$x = \sqrt[3]{64 (5)}$

Step 2.1.2

Rewrite $64$ as $4^{3}$ .

$x = \sqrt[3]{4^{3} \cdot 5}$

Step 2.2

Pull terms out from under the radical.

$x = 4 \sqrt[3]{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = 4 \sqrt[3]{5}$

Decimal Form:

$x = 6.83990378 \dots$