| (a) Malo se zagriji: |
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| \( \frac{-20}{15} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{-23}{8} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{14}{2} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{10}{5} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{3}{5} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{5}{5} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{5}{5} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{32}{3} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{76}{3} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{75}{4} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{43}{6} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{43}{9} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{12}{6} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{12}{8} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \(a^n \cdot a^m = a^{n+m}\) |
Produkt von Potenzen: Wenn die Basen gleich sind, werden die Exponenten addiert. |
| \(\frac{a^n}{a^m} = a^{n-m}\) |
Quotient von Potenzen: Wenn die Basen gleich sind, werden die Exponenten subtrahiert. |
| \((a^n)^m = a^{n \cdot m}\) |
Potenz einer Potenz: Ein Exponent wird mit einem anderen multipliziert, wenn er hochgenommen wird. |
| \(a^n \cdot b^n = (a \cdot b)^n\) |
Produkt von ähnlichen Potenzen: Wenn die Basen multipliziert werden, wird ein gemeinsamer Exponent herausgezogen. |
| \(\frac{a^n}{b^n} = \left(\frac{a}{b}\right)^n\) |
Quotient von ähnlichen Potenzen: Wenn die Basen dividiert werden, wird ein gemeinsamer Exponent herausgezogen. |
| \( \frac{41}{11} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{47}{12} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{-20}{15} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{-23}{8} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{14}{2} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{10}{5} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{3}{5} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{5}{5} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{5}{5} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{32}{3} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{76}{3} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{75}{4} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{43}{6} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{43}{9} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{12}{6} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
\( \frac{12}{8} = \large\square \large\square + \frac{\large\square}{\large\square} \) |
