Warm Up Lesson Presentation Lesson Quizzes

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

Learn to evaluate expressions with exponents.

Vocabulary exponential form exponent base power

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

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

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

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

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