Question
Product
Rule of exponents
Rule of exponents
Answers
GPT 3.5
The rule of exponents is a mathematical concept that helps simplify expressions with exponents. There are several rules, including:
1. Product Rule: When multiplying two numbers with the same base, you add their exponents. For example, if you have x^2 * x^3, you would add the exponents and get x^(2+3) = x^5.
This rule can also be applied to variables raised to different powers. For example, if you have x^2 * x^4, you would add the exponents and get x^(2+4) = x^6.
In general, the product rule states that for any real numbers a and b, and any positive integer n, (a^n) * (b^n) = (ab)^n.
The product rule is a fundamental property of exponents and is often used in simplifying mathematical expressions and solving equations involving exponents.
1. Product Rule: When multiplying two numbers with the same base, you add their exponents. For example, if you have x^2 * x^3, you would add the exponents and get x^(2+3) = x^5.
This rule can also be applied to variables raised to different powers. For example, if you have x^2 * x^4, you would add the exponents and get x^(2+4) = x^6.
In general, the product rule states that for any real numbers a and b, and any positive integer n, (a^n) * (b^n) = (ab)^n.
The product rule is a fundamental property of exponents and is often used in simplifying mathematical expressions and solving equations involving exponents.