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Understanding Exponents: Simplifying and Writing with Power

Dive into the world of exponents, the tiny numbers positioned at the upper right of a base number that indicate how many times to multiply that number by itself. This guide explores the definition of exponents, the components of a power (base and exponent), and how to write expressions using exponents. Learn the process of simplifying problems with exponents using the PEMDAS order of operations, along with practical examples and exercises. Perfect for students looking to master the concept of exponents in mathematics.

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Understanding Exponents: Simplifying and Writing with Power

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  1. Exponents

  2. Math Vocabulary exponent: The tiny number [raised to the upper right] of a base number – means the number of times to multiply base number: The regular sized number [listed first] that is multiplied with itself (however many times the exponent lists) power: Made of two parts – a base number AND an exponent

  3. Writing with Exponents Exponents describe “how many” times a base # is written… (5)(5)(5) = 2 • 2 • 2 • 2 • 2 =

  4. Simplifying Exponents When simplifying… 1) determine how many times to write the base # 2) multiply the base # problem 4²= 3³= 2¹= 5º = 1⁵ = 10⁹ =

  5. Simplifying WITH Exponents When simplifying problems that INCLUDE exponents, we use… *PEMDAS* 3 + 2³  3³÷ (3)²  3(5)² - (6 + 1) 

  6. Practice Write using exponents • (3)(3)(3)(3) • 4 • 4 • 4 Simplify • 6² • (2 • 5) + 4 • (3)³ • 10⁵

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