Honors Algebra 2: Exponent Extra Practice

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Simplify:

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