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Exponential Form and Evaluating Expressions with Exponents

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Learn how to write numbers in exponential form and evaluate expressions with exponents. Practice simplifying powers and finding products.

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Exponential Form and Evaluating Expressions with Exponents

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  1. Warm Up Lesson Presentation Lesson Quizzes

  2. Warm Up Find the product. 1. 5 • 5 • 5 • 5 625 27 2. 3 • 3 • 3 –343 3. (–7) • (–7) • (–7)‏ 4. 9 • 9 81

  3. Learn to evaluate expressions with exponents.

  4. Vocabulary exponential form exponent base power

  5. If a number is in exponential form, the exponent represents how many times the base is to be used as a factor. A number produced by raising a base to an exponent is called a power. Both 27 and 33 represent the same power. Exponent Base 7 2

  6. 4 • 4 • 4 • 4 = 44 Reading Math Read –(63) as “negative 6 to the 3rd power” or “negative 6 cubed”. Additional Example 1: Writing Exponents Write in exponential form. A. 4 • 4 • 4 • 4 Identify how many times 4 is a factor. B. (–6) • (–6) • (–6)‏ Identify how many times –6 is a factor. (–6) • (–6) • (–6) = (–6)3

  7. C. (–4)4 (–4)4 = (–4) • (–4) • (–4)• (–4)‏ D. Additional Example 2: Simplifying Powers Simplify. Find the product of four –4’s. = 256 Find the product of eight 1/2’s.

  8. A. 74 B. (–9)3 (–9)3 = (–9) • (–9) • (–9)‏ Check It Out: Example 2 Simplify. Find the product of four 7’s. 74 = 7 • 7 • 7 • 7 = 2401 Find the product of three –9’s. = –729

  9. C. –(5)2 –(5)2 = –(5) • (5)‏ D. 97 Check It Out: Example 2 Simplify. Find the product of two 5’s and then make the answer negative. = –25 Find the product of seven 9’s. 97 = 9 • 9 • 9 • 9 • 9 • 9 • 9 = 4,782,969

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