Basic Math Examples

$(10 + 7) - \frac{40}{\sqrt[3]{1000}}$

Step 1

Find the common denominator.

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Step 1.1

Write $10$ as a fraction with denominator $1$ .

$\frac{10}{1} + 7 - \frac{40}{\sqrt[3]{1000}}$

Step 1.2

Multiply $\frac{10}{1}$ by $\frac{\sqrt[3]{1000}}{\sqrt[3]{1000}}$ .

$\frac{10}{1} \cdot \frac{\sqrt[3]{1000}}{\sqrt[3]{1000}} + 7 - \frac{40}{\sqrt[3]{1000}}$

Step 1.3

Multiply $\frac{10}{1}$ by $\frac{\sqrt[3]{1000}}{\sqrt[3]{1000}}$ .

$\frac{10 \sqrt[3]{1000}}{\sqrt[3]{1000}} + 7 - \frac{40}{\sqrt[3]{1000}}$

Step 1.4

Write $7$ as a fraction with denominator $1$ .

$\frac{10 \sqrt[3]{1000}}{\sqrt[3]{1000}} + \frac{7}{1} - \frac{40}{\sqrt[3]{1000}}$

Step 1.5

Multiply $\frac{7}{1}$ by $\frac{\sqrt[3]{1000}}{\sqrt[3]{1000}}$ .

$\frac{10 \sqrt[3]{1000}}{\sqrt[3]{1000}} + \frac{7}{1} \cdot \frac{\sqrt[3]{1000}}{\sqrt[3]{1000}} - \frac{40}{\sqrt[3]{1000}}$

Step 1.6

Multiply $\frac{7}{1}$ by $\frac{\sqrt[3]{1000}}{\sqrt[3]{1000}}$ .

$\frac{10 \sqrt[3]{1000}}{\sqrt[3]{1000}} + \frac{7 \sqrt[3]{1000}}{\sqrt[3]{1000}} - \frac{40}{\sqrt[3]{1000}}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{10 \sqrt[3]{1000} + 7 \sqrt[3]{1000} - 40}{\sqrt[3]{1000}}$

Step 2.2

Simplify each term.

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Step 2.2.1

Rewrite $1000$ as $10^{3}$ .

$\frac{10 \sqrt[3]{10^{3}} + 7 \sqrt[3]{1000} - 40}{\sqrt[3]{1000}}$

Step 2.2.2

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

$\frac{10 \cdot 10 + 7 \sqrt[3]{1000} - 40}{\sqrt[3]{1000}}$

Step 2.2.3

Multiply $10$ by $10$ .

$\frac{100 + 7 \sqrt[3]{1000} - 40}{\sqrt[3]{1000}}$

Step 2.2.4

Rewrite $1000$ as $10^{3}$ .

$\frac{100 + 7 \sqrt[3]{10^{3}} - 40}{\sqrt[3]{1000}}$

Step 2.2.5

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

$\frac{100 + 7 \cdot 10 - 40}{\sqrt[3]{1000}}$

Step 2.2.6

Multiply $7$ by $10$ .

$\frac{100 + 70 - 40}{\sqrt[3]{1000}}$

Step 2.3

Simplify by adding and subtracting.

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Step 2.3.1

Add $100$ and $70$ .

$\frac{170 - 40}{\sqrt[3]{1000}}$

Step 2.3.2

Subtract $40$ from $170$ .

$\frac{130}{\sqrt[3]{1000}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $1000$ as $10^{3}$ .

$\frac{130}{\sqrt[3]{10^{3}}}$

Step 3.2

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

$\frac{130}{10}$

Step 4

Divide $130$ by $10$ .

$13$