Basic Math Examples

$7^{\sqrt[3]{24}} - \sqrt[3]{81}$

Step 1

Rewrite $24$ as $2^{3} \cdot 3$ .

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Step 1.1

Factor $8$ out of $24$ .

$7^{\sqrt[3]{8 (3)}} - \sqrt[3]{81}$

Step 1.2

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

$7^{\sqrt[3]{2^{3} \cdot 3}} - \sqrt[3]{81}$

$7^{\sqrt[3]{2^{3} \cdot 3}} - \sqrt[3]{81}$

Step 2

Pull terms out from under the radical.

$7^{2 \sqrt[3]{3}} - \sqrt[3]{81}$

Step 3

Rewrite $81$ as $3^{3} \cdot 3$ .

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Step 3.1

Factor $27$ out of $81$ .

$7^{2 \sqrt[3]{3}} - \sqrt[3]{27 (3)}$

Step 3.2

Rewrite $27$ as $3^{3}$ .

$7^{2 \sqrt[3]{3}} - \sqrt[3]{3^{3} \cdot 3}$

$7^{2 \sqrt[3]{3}} - \sqrt[3]{3^{3} \cdot 3}$

Step 4

Pull terms out from under the radical.

$7^{2 \sqrt[3]{3}} - (3 \sqrt[3]{3})$

Step 5

Multiply $3$ by $- 1$ .

$7^{2 \sqrt[3]{3}} - 3 \sqrt[3]{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$7^{2 \sqrt[3]{3}} - 3 \sqrt[3]{3}$

Decimal Form:

$269.63161913 \dots$

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