Laws of Exponents The laws of exponents are a set of rules that govern the behavior of exponents. These laws allow us to simplify expressions with expon...
Laws of Exponents
The laws of exponents are a set of rules that govern the behavior of exponents. These laws allow us to simplify expressions with exponents and perform operations such as addition, subtraction, multiplication, and division of expressions with the same base.
Law 1: Power of a Power
(a^b)^c = a^(b * c)
Law 2: Multiplication of Exponents
(a^b)^c = (a^b)^c
Law 3: Division of Exponents
(a^b)^c = (a^b)^(c-1)
Example:
Simplify the following expression:
(x^2)^3 * x^4
According to the power of a power rule, we can write:
(x^2)^3 * x^4 = x^(2 * 3) * x^4 = x^6
Therefore, (x^2)^3 * x^4 = x^6