1.4.3 Applying the Rules of Exponents

Question 1

Power

Answer 1

An expression written with a base and an exponent. Additionally, the exponent in a power is sometimes referred to as a power.

Question 2

Power

Answer 2

An expression written with a base and an exponent. Additionally, the exponent in a power is sometimes referred to as a power

Question 3

Exponent

Answer 3

The number in a power that indicates the number of times the base is used as a factor

Question 4

Exponent

Answer 4

The number in a power that indicates the number of times the base is used as a factor

Question 5

Multiplying with Exponents

Answer 5

• Product of Powers (with like bases) Rule: A^n A^m = A^n + m
• Power of a Product Rule: (AB)^n = A^nB^n
• Power of a Power Rule: (A^n)^m = A^nm

Question 6

Grouping with Exponents

Answer 6

A product of powers with a common exponent can be written as a single power where the base is the product of the bases and the exponent is that common exponent. Be sure to enclose the product of the bases within parentheses when grouping. A^nB^n = (AB)^n

Question 7

Base

Answer 7

The number or variable that is used as a factor in a power. For example, in the power A^n , the base is A (and the exponent is n)

Question 8

Exponent

Answer 8

The number in a power that indicates the number of times the base is used as a factor

Question 9

Multiplying with Exponents

Answer 9

• Product of Powers (with like bases) Rule: A^nA^m = A^n + m
• Power of a Product Rule: (AB)^n = A^nB^n
• Power of a Power Rule: (A^n)^m = A^nm

Question 10

Grouping with Exponents

Answer 10

A product of powers with a common exponent can be written as a single power where the base is the product of the bases and the exponent is that common exponent. Be sure to enclose the product of the bases within parentheses when grouping.