Exponential Expressions

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.

Basic Algebra: Exponent Properties Involving Products

Determine whether the answer will be positive or negative. You do not have to provide the answer.

2. \(-\left(3^{4}\right)\)
3. \(-8^{2}\)

Write in exponential notation.

6. \(2 \cdot 2\)
7. \((-3)(-3)(-3)\)

Find each number.

14. \(a^{10}\)
15. \(0^3\)
    

Multiply and simplify.

25. \(6^{3} \cdot 6^{6}\)
26. \(2^{2} \cdot 2^{4} \cdot 2^{6}\)

Simplify.

33. \((a^3)^4\)
34. \((xy)^2\)