Trigonometry Examples

$\sqrt[3]{\frac{- 125}{1000}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $- 125$ and $1000$ .

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Step 1.1.1

Factor $125$ out of $- 125$ .

$\sqrt[3]{\frac{125 (- 1)}{1000}}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $125$ out of $1000$ .

$\sqrt[3]{\frac{125 \cdot - 1}{125 \cdot 8}}$

Step 1.1.2.2

Cancel the common factor.

$\sqrt[3]{\frac{125 \cdot - 1}{125 \cdot 8}}$

Step 1.1.2.3

Rewrite the expression.

$\sqrt[3]{\frac{- 1}{8}}$

Step 1.2

Move the negative in front of the fraction.

$\sqrt[3]{- \frac{1}{8}}$

Step 2

Rewrite $- \frac{1}{8}$ as ${(- \frac{1}{2})}^{3}$ .

$\sqrt[3]{{(- \frac{1}{2})}^{3}}$

Step 3

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

$- \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$