Warm Up: 1. What does product mean? Quotient? 2. What is an example of an expression that is a product of powers? A quotient of powers?
1. Will the answer change if we change where the brackets are? 2. What is this product written as a power?
Investigate the Product of Powers Investigate the Quotient of Powers What do you notice???
1. When you multiply powers, does it matter in which order you multiply the powers? 2. When you divide powers, does it matter in which order you write the powers? 3. When you multiply powers, how do you determine what the exponent is for the Product as a Power column? 4. When you divide powers, how do you determine what the exponent is for the Quotient of a Power column? 5. What do you think would happen if there were different bases?
2.4 Exponent Laws I Curriculum Focus Understand and apply the exponent laws for products and quotients of powers. Key Math Learnings 1. To multiply powers with the same base, add the exponents. 2. To divide powers with the same base, subtract the exponents.
Exponent Law for a Product of Powers To multiply powers with the same base, keep the base and add the exponents. am x an = am+n a is any integer ≠ 0, and m and n are any whole numbers. Exponent Law for a Quotient of Powers To divide powers with the same base, keep the base and subtract the exponents. am an m≥n, a is any integer ≠ 0, and m and n are whole numbers. = am-n
Pages 76-78 Questions 4, 5, 8, 10, 12, 13, 15, 17-19