1. Intro to Exponents Learn to evaluate expressions with exponents.

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

3. The term 2 7 is called a power. If a number is in exponential form, the exponent represents how many times the base is to be used as a factor. 7 Exponent Base 2

4. Identify how many times 4 is a factor. 4 4 4 4 = 4 4 Write in exponential form. A. 4 4 4 4 Identify how many times d is a factor. d d d d d = d 5 B. d d d d d Read 4 4 as “4 to the 4 th power.” Reading Math

5. Identify how many times –6 is a factor. (–6) (–6) (–6) = (–6) 3 Identify how many times 5 is a factor. 5 5 = 5 2 C. (–6) (–6) (–6) D. 5 5 Write in exponential form. Remember to keep the – sign inside the ( )! If it is outside, your answer will be negative even if you have an even number of – signs.

6. Identify how many times x is a factor. x x x x x = x 5 Write in exponential form. A. x x x x x Identify how many times d is a factor. d d d = d 3 B. d d d

7. A. 3 5 = 243 3 5 = 3 3 3 3 3 Find the product of five 3’s. = –243 = (–3) (–3) (–3) (–3) (–3)(–3) 5 Find the product of five –3’s. B. (–3) 5 Always use parentheses to raise a negative number to a power. Helpful Hint Evaluate.

8. C. 7 4 = 2401 7 4 = 7 7 7 7 Find the product of four 7’s. = –729 = (–9) (–9) (–9)(–9) 3 Find the product of three –9’s. D. (–9) 3 Evaluate.

9. Simplifying Expressions Containing Powers = 47 Simplify (2 5 – 3 2 ) + 6(4) = (32 – 9) + 6(4) = (23) + 6(4) = 23 + 24 Evaluate the exponents. Subtract inside the parentheses. Multiply from left to right. Add from left to right.

10. = –49 Simplify (3 2 – 8 2 ) + 2 3 = (9 – 64) + 2 3 = (–55) + 2 3 = –55 + 6 Evaluate the exponents. Subtract inside the parentheses. Multiply from left to right. Add from left to right.