Exponential Properties Involving Quotients

Sample explanations for some of the practice exercises below are available by viewing the following video. Note that there is not always a match between the number of the practice exercise in the video and the number of the practice exercise listed in the following exercise set.  However, the practice exercise is the same in both.

Exponent Properties Involving Quotients

Evaluate the following expressions.

1. \(\begin{align*}\frac{5^6}{5^2}\end{align*}\)
2. \(\begin{align*}\frac{6^7}{6^3}\end{align*}\)

Simplify the following expressions.

5. \(\frac{a^{3}}{a^{2}}\)
   
6. \(\frac{x^{9}}{x^{5}}\)

12. \(\left(\frac{3^{4}}{5^{2}}\right)^{2}\)
13. \(\left(\frac{a^{3} b^{4}}{a^{2} b}\right)^{3}\)