Integer Exponents

1
Section 5.1

• Integer Exponents

2
Overview

• Recall that exponents are used to indicate
  repeated multiplication

• In this section we explore properties of
  exponents that will be true for all real number
  bases and all integer exponents.

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The Product Rule

• When you multiply with like bases, keep the bases
  and add the exponents.

4
The Zero Rule

• Anything to the zero power is 1.

5
The Understood 1 Rule

• Anything to the first power is that thing.

6
Negative Exponents

• Any expression with a negative exponent can be
  re-written as an expression with a positive
  exponent.

7
Quotient Rule

• When you divide with like bases, keep the base
  and subtract the exponents.

8
Power Rules

• These rules apply to products, quotients, or
  powers being raised to powers.

When you raise a power to a power, keep the base
and multiply the exponents.
These two properties are the distributive
properties of exponents.
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Examples