| \( \frac{-22}{8} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{-21}{15} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{10}{3} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{10}{5} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{3}{3} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{4}{3} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{37}{2} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{32}{3} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{77}{4} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{74}{3} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{48}{10} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{43}{8} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{12}{7} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{15}{9} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( a^n \cdot a^m = a^{n+m} \) |
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. |
| \( a^n \cdot b^n = (a \cdot b)^n \) |
Produkt von ähnlichen Potenzen: Die Basen werden multipliziert und der Exponent bleibt gleich. |
| \( \frac{a^n}{b^n} = \left(\frac{a}{b}\right)^n \) |
Quotient von ähnlichen Potenzen: Die Basen werden dividiert und der Exponent bleibt gleich. |
| \( \frac{42}{8} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{50}{10} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{-22}{8} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{-21}{15} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{10}{3} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{10}{5} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
| \( \frac{3}{3} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
\( \frac{4}{3} = \large\square\large\square + \frac{\large\square}{\large\square} \) |
