Question

Properties of exponents help simplify expressions and equations in mathematics. Please explain the three properties of exponents.

Answer 1

The three properties of exponents are the Product Property, Quotient Property, and Power Property. These properties help simplify expressions and equations involving exponents.

Step-by-step explanation:

The three properties of exponents are:

1. Product Property of Exponents: When multiplying powers with the same base, you add their exponents. For example, x^a * x^b = x^(a+b).
2. Quotient Property of Exponents: When dividing powers with the same base, you subtract their exponents. For example, x^a / x^b = x^(a-b).
3. Power Property of Exponents: When raising a power to another power, you multiply the exponents. For example, (x^a)^b = x^(a*b).