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12
notes/mat/Mocniny.md
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12
notes/mat/Mocniny.md
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# Mocniny
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$a+a+a+a+a = 5a$ násobení
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$a*a*a*a*a = a^5$ mocnina
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$a =$ základ mocniny $^5$ = exponent
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1. $n^0 = 1$
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2. $a^r+a^n$ nelze udělat nic
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3. $a^r*a^n=a^{r+n}$
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4. 4. $\frac{a^s}{a^r}={a^{s-r}}$
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5. $\frac{a^3*a^{-2}}{(a^2)^3}=\frac{a^{2-3}}{a^{2*3}}=\frac{a^1}{a^6}=a^{1-6}=a^5$
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6. $(\frac{a}{b})^2=\frac{a^2}{b^2}$
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7. $\forall a,b \in R$ $(a*b)^r = a^r * b^r$
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8. $\forall a,b \in R \wedge b \neq 0$ $(\frac{a}{b})^r=\frac{a^r}{b^r}$ ($r \in Q$)
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@ -13,6 +13,7 @@ imagePrefix: 'data/'
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- [[mat/Intervaly|Intervaly]]
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- [[mat/Matematika|Matematika]]
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- [[mat/Množiny|Množiny]]
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- [[mat/Mocniny|Mocniny]]
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- [[mat/Násobek a dělitel|Násobek a dělitel]]
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- [[mat/Příklady|Příklady]]
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- [[mat/Rovnice|Rovnice]]
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