7-4 Division Properties of Exponents Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power

Dividing Powers With the Same Base To divide powers with the same base, subtract the exponents. 𝑎 𝑚 𝑎 𝑛 = 𝑎 𝑚−𝑛 , where 𝑎≠0, and m and n are rational numbers Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power

Problem 1: Dividing Algebraic Expressions What is the simplified form of each expression? 𝑥 5 2 𝑥 2 𝑚 2 𝑛 4 𝑚 5 𝑛 3 Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power

Problem 2: Dividing Numbers in Scientific Notation Simplify each quotient. Write each answer in scientific notation. 1.21× 10 7 4.81× 10 5 Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power

Simplify each quotient. Write each answer in scientific notation. 7 Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power

Raising a Quotient to a Power To raise a quotient to a power, raise the numerator and denominator to the power and simplify 𝑎 𝑏 𝑛 = 𝑎 𝑛 𝑏 𝑛 , where 𝑎≠0, 𝑏≠0, and n is a rational number Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power

Problem 3: Raising a Quotient to a Power What is the simplified form: 𝑧 2 3 5 3 4 𝑥 3 2 Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power

𝑎 𝑏 −𝑛 = 𝑏 𝑎 𝑛 Learning Target: 𝑎 𝑏 −𝑛 = 𝑏 𝑎 𝑛 Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power

Problem 4: Simplifying an Exponential Expression What is the simplified form? 2𝑥 6 𝑦 4 −3 𝑎 5𝑏 −2 Learning Target:  * I can divide powers with the same base * I can raise a quotient to a power