Algebra Examples

$\sqrt[3]{2^{4}} \cdot 5^{5}$

Step 1

Raise $2$ to the power of $4$ .

$\sqrt[3]{16} \cdot 5^{5}$

Step 2

Rewrite $16$ as $2^{3} \cdot 2$ .

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Step 2.1

Factor $8$ out of $16$ .

$\sqrt[3]{8 (2)} \cdot 5^{5}$

Step 2.2

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} \cdot 2} \cdot 5^{5}$

$\sqrt[3]{2^{3} \cdot 2} \cdot 5^{5}$

Step 3

Pull terms out from under the radical.

$2 \sqrt[3]{2} \cdot 5^{5}$

Step 4

Raise $5$ to the power of $5$ .

$2 \sqrt[3]{2} \cdot 3125$

Step 5

Multiply $3125$ by $2$ .

$6250 \sqrt[3]{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$6250 \sqrt[3]{2}$

Decimal Form:

$7874.50656184 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$