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Kuupjuur

$$ \bullet \ \ \sqrt[3]{x} \cdot \sqrt[3]{x} \cdot \sqrt[3]{x} = x $$

Graafik

kuupjuur x y = 3x 1 −1 1 −1 8 −8 2 −2 0

Kalkulaator

Sisestage 1 väärtus

$$ x = $$
$$ \sqrt[3]{x} = $$
Ümardatud kümnendkohani

Valemid

astmed ja juured

$$ \begin{aligned} & \sqrt[3]{x} = y \ \Longleftrightarrow \ x = y^3 \\ \\ & \sqrt[n]{x} = y \ \Longleftrightarrow \ x = y^n \end{aligned} $$
$$ \begin{aligned} & \sqrt[3]{x} = x^{\frac{1}{3}} \\ \\ & \sqrt[n]{x^m} = x^{\frac{m}{n}} \end{aligned} $$
$$ \begin{aligned} & \sqrt[p \cdot n]{x^{p \cdot m}} = \sqrt[n]{x^m} = x^{\frac{m}{n}} \\ \\ & \left(\sqrt[n]{x}\right)^m = \sqrt[n]{x^m} \\ \\ & \sqrt[n]{\sqrt[m]{x}} = \sqrt[m]{\sqrt[n]{x}} = \sqrt[m \cdot n]{x} \end{aligned} $$
$$ \begin{aligned} & \sqrt[n]{x \cdot y} = \sqrt[n]{x} \cdot \sqrt[n]{y} \\ \\ & \sqrt[n]{\frac{x}{y}} = \frac{\sqrt[n]{x}}{\sqrt[n]{y}} \end{aligned} $$
$$ \begin{aligned} & x^n \cdot x^p = x^{n + p} \\ \\ & \frac{x^n}{x^p} = x^{n - p} \\ \\ & \left(x^n\right)^p = x^{n \cdot p} \\ \\ & x^{-n} = \frac{1}{x^n} \end{aligned} $$
\begin{aligned} & x^n \cdot y^n = \left(x \cdot y\right)^n \\ \\ & \frac{x^n}{y^n} = \left(\frac{x}{y}\right)^n \end{aligned}
$$ \begin{aligned} & x^0 = 1 \\ \\ & x^1 = x \end{aligned} $$
$$ \begin{aligned} & 0^n = 0 \\ \\ & 1^n = 1 \end{aligned} $$

Hindamine

5,0/5 (1×)

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