Page 1: Fundamental Rules of Exponents

The first page introduces the basic zasady potęgowania, focusing on operations with powers that have the same base or the same exponent. These rules are fundamental for understanding more complex operations with exponents.

Definition: In exponent notation, the base is the number being multiplied by itself, while the exponent indicates how many times the base is multiplied.

The page covers four main rules:

1. Multiplying powers with the same base: When multiplying powers with the same base, add the exponents. For example, a^m * a^n = a^(m+n).

2. Dividing powers with the same base: When dividing powers with the same base, subtract the exponents. For instance, a^m ÷ a^n = a^(m-n).

Highlight: Any number raised to the power of zero equals 1, which is a crucial concept in exponent operations.

3. Multiplying powers with the same exponent: When multiplying powers with the same exponent, multiply the bases and keep the exponent the same. For example, a^n * b^n = (a*b)^n.

4. Dividing powers with the same exponent: When dividing powers with the same exponent, divide the bases and keep the exponent the same. For instance, a^n ÷ b^n = (a÷b)^n.

Example: 5^2 * 5^4 = 5^6 demonstrates the rule for multiplying powers with the same base.

These rules form the foundation for działania na pierwiastkach and more advanced exponent operations.