vault backup: 2021-11-26 08:45:43

This commit is contained in:
Daniel Bulant 2021-11-26 08:45:43 +01:00
parent 9ebc040c57
commit 7aee987744
3 changed files with 29 additions and 8 deletions

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