Algebra 8-5 Products and Powers of Powers

Simplify.

1. n⁴•n³ = ________ 2. n⁷•n⁷ = ________

3. a²•b³•a•b⁴ = _______ 4. (n³)⁴ = ________

5. (2n²)(3n⁴) = _______ 6. 2n(n³)² = _______

7. (n⁴)² = _______ 8. 2a⁴(a⁵)³ = _______

9. (4a²b)(2a⁴b²) = _______ 10. 5a•a•a•a⁴ = _________

11. (n³)⁶ = _______ 12. n³•n⁴•n² = ________

13. (5a²b³c⁴) • (2a²b⁵c⁶) = ___________ 14. (b²)²•(b³)² = ______

15. (abc²) (abc²) = __________ 16. (4a)(a)(3a) = _______

In 17-22, give the value for the variable x.

17. 9² • 9^x = 9¹⁰ x = ________________

18. 7^x • 7⁴ = 7¹² x = ________________

19. (2^x)⁴ = 2¹² x = ________________

20. 5n³ • 2n^x = 10n⁹ x = ________________

21. (6⁴)^x = 6²⁰ x = ________________

22. 3^x • 3² • 3⁵ = 3³⁰ x = ________________