10.1 Video Lesson:

Exponents

Learning Objective:  Write expressions involving exponents and evaluate powers

* A power is a product of repeated factors.  The base of a power is the common factor.  The exponent of a power indicates the number of times the base is used as a factor.

Example 1: Write each product using exponents.

a) (-7)(-7)(-7)

b) (π)(π)(r)(r)(r)

c) (-2)(-2)(x)(x)(x)

Example 2: Evaluate each expression.

a) (-2)4

b) -24

c) -33

Example 3: Evaluate each expression.

a)  3 + 2(34)

b)  33 - 82 ÷ 2

Example 4:  In sphering, a person is secured inside a small, hollow sphere that is surrounded by another sphere.  The space between the spheres is inflated with air.  What is the volume of the inflated space?