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Intro to Exponents

Intro to Exponents. Learn to evaluate expressions with exponents. Review Find the product. 1. 5 • 5 • 5 • 5. 625. 27. 2. 3 • 3 • 3. –343. 3. (–7) • (–7) • (–7). 4. 9 • 9. 81.

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Intro to Exponents

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

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

  3. 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. Exponent Base 7 2

  4. 4 • 4 • 4 • 4 = 44 d•d•d•d•d = d5 Reading Math Read 44 as “4 to the 4th power.” Write in exponential form. A. 4 • 4 • 4 • 4 Identify how many times 4 is a factor. B. d • d • d • d • d Identify how many times d is a factor.

  5. Write in exponential form. Identify how many times –6 is a factor. C. (–6) • (–6) • (–6) (–6) • (–6) • (–6) = (–6)3 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. D. 5 • 5 Identify how many times 5 is a factor. 5 • 5 = 52

  6. x • x • x • x • x= x5 d•d•d = d3 Write in exponential form. A. x • x • x • x • x Identify how many times x is a factor. B. d • d • d Identify how many times d is a factor.

  7. A. 35 B.(–3)5 = (–3) • (–3) • (–3) • (–3) • (–3) (–3)5 Evaluate. Find the product of five 3’s. 35 = 3 • 3 • 3 • 3 • 3 = 243 Find the product of five –3’s. = –243 Helpful Hint Always use parentheses to raise a negative number to a power.

  8. C. 74 D. (–9)3 = (–9) • (–9) • (–9) (–9)3 Evaluate. Find the product of four 7’s. 74 = 7 • 7 • 7 • 7 = 2401 Find the product of three –9’s. = –729

  9. Simplifying Expressions Containing Powers Simplify (25 – 32 ) + 6(4) = (32 – 9) + 6(4) Evaluate the exponents. = (23) + 6(4) Subtract inside the parentheses. Multiply from left to right. = 23 + 24 Add from left to right. = 47

  10. Simplify (32 – 82) + 2 • 3 = (9 – 64) + 2 • 3 Evaluate the exponents. = (–55) + 2 • 3 Subtract inside the parentheses. = –55 + 6 Multiply from left to right. = –49 Add from left to right.

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