\(x + y = z\)

\(z - y = x\)

\(z - x = y\)

\(x y = z\)

\(\frac{z}{y} = x\)

\(\frac{z}{x} = y\)

\(x ^ {y} = z\)

\(\sqrt[y]{z} = x\)

\(log_{x}(z) = y\)

Potens

\(x ^ {n} = \prod ^ {n} x, n \gt 0\)

\(x ^ {n} = \frac{1}{x ^ {-n}}, x \lt 0\)

\(x ^ {0} = 1\)

\(x ^ {\frac{a}{b}} = \sqrt[b]{x ^ {a}}\)

\(x ^ {a} x ^ {b} = x ^ {a + b}\)

\(\frac{x ^ {a}}{x ^ {b}} = x ^ {a - b}\)

\(x ^ {a} y ^ {a} = (x y) ^ {a}\)

\(\frac{x ^ {a}}{y ^ {a}} = (\frac{x}{y}) ^ {a}\)

\((x ^ {a}) ^ {b} = x ^ {a b}\)

Brøker

\(\frac{x}{y} + n = \frac{x + n y}{y}\)

\(\frac{x}{y} + \frac{a}{b} = \frac{x b + a y}{y b}\)

\(\frac{x}{y} n = \frac{x n}{y}\)

\(\frac{x}{y} \frac{a}{b} = \frac{x a}{y b}\)

\(\frac{\frac{x}{y}}{\frac{a}{b}} = \frac{x b}{y a}\)