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<!DOCTYPE html>
<html lang="da">
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<head>
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
</head>
<body>
<!--#include virtual="/include/pghdr.shtml"-->
<div class="content">
<p class="pagePath"><a href="/html/encyclopedia.html">encyclopedia</a> / <a href="/html/encyclopedia.html#mathematics">mathematics</a> / <a href="/html/encyclopedia/mathematics/rules.html">rules</a></p>
<p class="pageTitle">Leksikon</p>
<div class="section">
<p class="math">\(x + y = z\)</p>
<p class="math">\(z - y = x\)</p>
<p class="math">\(z - x = y\)</p>
<br />
<p class="math">\(x y = z\)</p>
<p class="math">\(\frac{z}{y} = x\)</p>
<p class="math">\(\frac{z}{x} = y\)</p>
<br />
<p class="math">\(x ^ {y} = z\)</p>
<p class="math">\(\sqrt[y]{z} = x\)</p>
<p class="math">\(log_{x}(z) = y\)</p>
</div>
<div class="section">
<p class="large">Potens</p>
<p class="math">\(x ^ {n} = \prod ^ {n} x, n \gt 0\)</p>
<p class="math">\(x ^ {n} = \frac{1}{x ^ {-n}}, x \lt 0\)</p>
<p class="math">\(x ^ {0} = 1\)</p>
<p class="math">\(x ^ {\frac{a}{b}} = \sqrt[b]{x ^ {a}}\)</p>
<br />
<p class="math">\(x ^ {a} x ^ {b} = x ^ {a + b}\)</p>
<p class="math">\(\frac{x ^ {a}}{x ^ {b}} = x ^ {a - b}\)</p>
<p class="math">\(x ^ {a} y ^ {a} = (x y) ^ {a}\)</p>
<p class="math">\(\frac{x ^ {a}}{y ^ {a}} = (\frac{x}{y}) ^ {a}\)</p>
<p class="math">\((x ^ {a}) ^ {b} = x ^ {a b}\)</p>
</div>
<div class="section">
<p class="large">Brøker</p>
<p class="math">\(\frac{x}{y} + n = \frac{x + n y}{y}\)</p>
<p class="math">\(\frac{x}{y} + \frac{a}{b} = \frac{x b + a y}{y b}\)</p>
<p class="math">\(\frac{x}{y} n = \frac{x n}{y}\)</p>
<p class="math">\(\frac{x}{y} \frac{a}{b} = \frac{x a}{y b}\)</p>
<p class="math">\(\frac{\frac{x}{y}}{\frac{a}{b}} = \frac{x b}{y a}\)</p>
</div>
</div>
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</body>
</html>
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