Algebra 8-6 Negative Exponents

In 1-6, evaluate. Put answers as a fraction.

1. 2^-2 = _________ 2. 5^-3 = __________

3. 8^-2 = _________ 4. 1^-10 = _________

5. 2^-4 = _________ 6. 20^-2 = _________

In 7-14 simplify.

7. a^-4•a¹⁰ = ________ 8. 2a^-3•4a = _______

9. 5a^-2•a^-3 = ________ 10. a²•a^-6•a⁴ = ________

11. (b^-4)² = _________ 12. (b^-4)² = _________

13. (b²)^-4 = _________ 14. 2n⁴•3n^-2•2n^-1 = _________

In 15-19, solve for n.

15. 2ⁿ•2^-3 = 2⁵ n = _________

16. 5^-8 • 5ⁿ = 5^-2 n = _________

17. x^-4 • xⁿ = x⁵ n = _________

18. aⁿ •a^-5 = a^-7 n = _________

19. aⁿ • a^-4 = 1 n = _________

Rewrite the following without using negative exponents (in other words as a fraction).

20. 2a²b^-4 = _______________ 21. a^-3b²c^-4d³ = _____________

22. 6a²b^-4c^-2 = _____________ 23. 5a²6^-1b²c^-3 = ____________