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Name ____________________________________ Date ___________ 8th Grade Math Exponents Review Worksheet Simplify the following using the properties of exponents. Make sure to show all of your work and write your answers using only positive exponents 1. 63 * 6 2 9. 9 j5 3 j2 10. 36 x 9 y 5 18 x 3 y 2 11. 24m 6 n 3 6m 2 n 2 2. (3) x 2 * x 3 3. y 8 * y 9 4. (ab 2 )(a 2b 3 ) 5. (5m 3 )(3m 2 n 4 ) 6. (10 x 4 y 2 )(3x 2 y) 7. w6 w3 8. a 7b 2 a 6b 12. 6 x 4 y 6 13. 34 32 14. 12 x 5 4 x 2 15. a 2 b 2 c 1 Evaluate the following cube roots 16. 3 125 17. 3 1 18. 3 8 Solve the following cube root equations, make sure to show all work 19. x 3 27 21. 3 x 3 24 20. x 3 64 22. 2 x 3 54 23. The wooden block has a volume of 27 cubic meters. What is the length of one side of this wooden block? 24. Using the information from problem 24, what would the area of the top face of the box be?