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Exponents

Exponents. Exponents. Definitions: Exponent – Is the number that tells us how many times to multiply a number (called the base) by itself. Base – Is a number that is multiplied by itself when it is raised to an exponent.

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Exponents

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  1. Exponents

  2. Exponents Definitions:Exponent – Is the number that tells us how many times to multiply a number (called the base) by itself. Base – Is a number that is multiplied by itself when it is raised to an exponent. Exponential Form – Is the form of a number when it is written with a base and an exponent. Perfect Squares – Are numbers that are the squares of whole numbers. For example, 81 is a perfect square because it is the value of 92. Exponent Base

  3. Exponents

  4. Exponents Writing Numbers in Exponential Form Example 2 5 • 5 • 5 • 5 = 54 Example 1 7 • 7 • 7 = 73 Try these: Write the following expressions in exponential form. 1.) 6 • 6 = 2.) 10 • 10 • 10 • 10 = 3.) 2 • 2 • 2 • 2 • 2 = 4.) 12 • 12 • 12 =

  5. Exponents Finding the Value of Numbers Written in Exponential Form Example 2 Example 1 83 = 8 • 8 • 8 = 512 Try these: Find the value of the following numbers written in exponential form. 1.) 94 = 2.) 15 = 3.) 4.12 = 4.)

  6. Exponents Comparing Exponents Example 1 101 __ 22 10__ 2 • 2 10 _>_ 4 Example 2 43 __ 53 4 • 4 • 4 __ 5 • 5 • 5 64 _<_ 125 Evaluate the exponents Evaluate the exponents Place the correct sign between the two numbers Place the correct sign between the two numbers Try these: Compare the following numbers written in exponential form. Then, place a <, > or = sign between them. 1.) 82 __ 43 2.) 251 __ 53

  7. Exponents Real-Life Application The zoo has an aquarium that holds 74 cubic gallons of water. How many gallons of water does the aquarium hold?

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