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Math 096 Homework 12 Worksheet

Properties of Rational Exponents

1. Use the properties of exponents to evaluate the given expression:

2. Use the properties of exponents to evaluate the given expression :

3. Use the properties of exponents to evaluate the given expression :

4. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents :

5. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents:

6. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents:

7. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents:

8. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents:

9. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents:

10. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents:

11. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents:

12. Use the properties of exponents to simplify the given expression. Write the result
with only positive exponents:

The Product Rule for Radicals

13. Use the Product Rule for Radicals to multiply the radicals :

14. Determine the indicated root , assume all variables represent positive numbers:

15. Determine the indicated root , assume all variables represent positive numbers:

16. Simplify the radical:

17. Simplify the radical:

18. Simplify, assume all variables represent positive numbers :

19. Simplify, assume all variables represent positive numbers:

20. Simplify, assume all variables represent positive numbers:

21. Simplify, assume all variables represent positive numbers:

22. Multiply and simplify , assume all variables represent positive numbers:

23. Multiply and simplify, assume all variables represent positive numbers:

Review Material

1. Subtract and simplify

2. Add and simplify

3. Simplify

4. Simplify

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