# Honors Algebra 2: Exponent Extra Practice

• Class: Honors Algebra 2
• Author: Peter Atlas
• Algebra and Trigonometry: Structure and Method, Brown

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Simplify:

1. $$\displaystyle \left( \frac{3t}{4s^{2}} \right)^{2}$$
2. Solution $$\displaystyle \frac{9t^{2} }{16s^{4}}$$
3. $$\displaystyle -\frac{2x^{2}}{3xy} \cdot \frac{2x}{y}$$
4. Solution $$\displaystyle -\frac{4x^{2} }{3y^{2}}$$
5. $$\displaystyle \frac{5x^2y}{8} \cdot \frac{-2xy}{x^{3}y}$$
6. Solution $$\displaystyle -\frac{5y}{4}$$
7. $$\displaystyle \frac{\left( 2x^{2} \right)^{3}}{5} \cdot \frac{15x^{2}}{2x^{3}}$$
8. Solution $$\displaystyle 12x^{5}$$
9. $$\displaystyle \left(3x^{2}y^{3}\right)^{2} \cdot \frac{(6x)^{2}}{(9xy^{3})^{2}}$$
10. Solution $$\displaystyle 4x^{4}$$
11. $$\displaystyle \frac{ \left(x^{3}y\right)^{8}}{ \left(x^{2}y^{4}\right)^{6}}$$
12. Solution $$\displaystyle \frac{x^{12 }}{y^{16}}$$
13. $$\displaystyle \left(m^{2}n^{3}\right)^{4} \cdot \frac{\left( m^{8}n\right)^{5}}{\left(m^{3}n^{6}\right)^{3}}$$
14. Solution $$\displaystyle \frac{m^{39}}{ n}$$
15. $$\displaystyle a^{7}\left(a^{8}\right)$$
16. Solution $$\displaystyle a^{15}$$
17. $$\displaystyle \left(3m^{4}n^{6}\right)\left(2m^{2}n\right)$$
18. Solution $$\displaystyle 6m^{6}n^{7}$$
19. $$\displaystyle \left(5m^{3}n\right)\left(-2mn^{3}\right)$$
20. Solution $$\displaystyle -10m^{4}n^{4}$$
21. $$\displaystyle \left( 7ab \right) \left(-a^{4}b^{3} \right)^{2} \left(2a^{5}b^{6} \right)$$
22. Solution $$\displaystyle 14a^{14} b^{13}$$
23. $$\displaystyle \left(-9x^{3}y^{4}\right)\left( \frac{1}{3}x^{5}\right)\left(-2y^{2}\right)$$
24. Solution $$\displaystyle 6x^{8} y^{6}$$