Exponents & Roots – Review Packet – Exercises Hanlonmath.com 1 BASICS OF EXPONENTS Rewrite, using exponents. 1. 5 x 5 x 5 =____________ 2. 9 x 9 x 9 x 9 x 9 =______________ 3. 6 x 6 = _____________ 4. 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 =________________ 5. 15 x 15 =_______________ 6. 1000 x 1000 x 1000 =_______________ Evaluate. 7. 3 8. 2 9. 5 10. 10 11. 7º 12. 8¹ Rewrite each as a number raised to a power. 13. 27 =____________ 14. 64 =____________ or _____________ 15. 8 =_____________ 16. 144 =_____________ 17. 1000 =______________ 18. 81 = _____________ or _____________ 4 3 2 6
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EXPONENTS ROOTS Review packet Exercises - Hanlon … · Exponents & Roots – Review Packet – Exercises Hanlonmath.com 1 BASICS OF EXPONENTS Rewrite, using exponents. 1. 5 x 5 x
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Rewrite, using exponents. 1. 5 x 5 x 5 =____________ 2. 9 x 9 x 9 x 9 x 9 =______________ 3. 6 x 6 = _____________ 4. 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 =________________ 5. 15 x 15 =_______________ 6. 1000 x 1000 x 1000 =_______________ Evaluate. 7. 3 8. 2 9. 5 10. 10 11. 7º 12. 8¹ Rewrite each as a number raised to a power. 13. 27 =____________ 14. 64 =____________ or _____________ 15. 8 =_____________ 16. 144 =_____________ 17. 1000 =______________ 18. 81 = _____________ or _____________
Simplify. 1. 3 x 7 2. 5 x 11 3. 8 x 2 4. 3 2 x 2 6 5. 3 5 x 4 10 6. 3 x 4 15 7. 18 x 8 8. 4 14 x 7 9. 63 x 7 10. 2 5 x 3 10 11. 24 x 56 12. 7 x 2 21 13. 17 x 34 14. 3 3 x 7 7
Rewrite using exponents. 1. 4 x 4 x 4 = _____________ 2. 2 x 2 x 2 x 2 x 2 x 2 x 2 = ______________ 3. 8 x 8 x 8 x 8 x 8 = ________________ 4. 24 x 24 x 24 x 24 = _________________ Evaluate. 5. 3 6. 2 7. 14º 8. 8¹ Simplify. Make all exponents positive 11. (2x³) 12. (4a³) -2 13. (4a -2 ) 2 14. (a 4 ) -3
1.) Which would not give you the same answer as (3²)³? A. 27² B. 3 5 C. 3 6 D. 9³ E. All give you the correct answer 2.) 8.384 x 10³ = ? A. 0.00834 B. 0.0834 C. 838.4 D. 8384 E. 83,840 3.) 225 is the same as which expression below? A. 5³ x 2 B. 5² x 3² C. 5 x 3 D. 225 x 10² E. 25 x 5² 4.) The “cube root of 125” is written as: A. 125² B. 125³ C. 12 -3 D. 1252 E. 1253 5. Simplify: 96 A. 2 48