FINAL EXPONENT.ppt
- 1. 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. POWERS & EXPONENTS VOCABULARY –FACTORS - numbers that are multiplied together. –BASE - the number being used as a factor. –EXPONENT - tells how many times a number is used as a factor.
- 4. POWERS & EXPONENTS VOCABULARY –POWER - a number that is expressed using exponents. –SQUARED - a number that has an exponent of 2. –CUBED - a number that has an exponent of 3.
- 5. The term 27 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
- 6. FACTOR FORM 2³ = 2 x 2 x 2 factors
- 7. STANDARD FORM 2³ = 2 x 2 x 2 8 4 x 2
- 8. Identify how many times 4 is a factor. 4 • 4 • 4 • 4 = 44 Write in exponential form. A. 4 • 4 • 4 • 4 Identify how many times d is a factor. d • d • d • d • d = d5 B. d • d • d • d • d Read 44 as “4 to the 4th power.” Reading Math
- 9. Identify how many times –6 is a factor. (–6) • (–6) • (–6) = (–6)3 Identify how many times 5 is a factor. 5 • 5 = 52 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.
- 10. Identify how many times x is a factor. x • x • x • x • x = x5 Write in exponential form. A. x • x • x • x • x Identify how many times d is a factor. d • d • d = d3 B. d • d • d
- 11. A. 35 = 243 35 = 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.
- 12. C. 74 = 2401 74 = 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.
- 13. Follow Order of Operations 5 + 3² - 8 5 + 3 x 3 - 8 5 + 9 - 8 14 - 8 6
- 14. Simplifying Expressions Containing Powers = 47 Simplify (25 – 32 ) + 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.
- 15. = –49 Simplify (32 – 82) + 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.