Laws Of Exponents
The Laws of Exponents are rules that simplify expressions involving powers. They help in performing operations like multiplication and division on numbers with exponents. For example, when multiplying two powers with the same base, you add the exponents: a^m \times a^n = a^m+n. Conversely, when dividing, you subtract the exponents: a^m \div a^n = a^m-n.
Another important law states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^m \cdot n. Additionally, any non-zero number raised to the power of zero equals one: a^0 = 1. These laws provide a systematic way to handle exponents in mathematics.