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Exponents and Bases

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Identifying an exponent and its base is the prerequisite for simplifying expressions with exponents.

Format of an exponent and base: bn

Exponent: The term, n, that describes the number of times that a base should be multiplied by itself.

Base: The term, b, that is being multiplied n times.

1. Exponent and Base Practice

Identify each exponent and base:

1. 34
exponent:
base:

2. x4
exponent:
base:

3. 7y3
exponent:
base:

4. (x + 5)5
exponent:
base:

5. 6x/11
exponent:
base:

6. (5e)y+3
exponent:
base:

7. (x/y)16
exponent:
base:

2. Exponent and Base Answers

1. 34
exponent: 4
base: 3

2. x4
exponent: 4
base: x

3. 7y3
exponent: 3
base: y
Note: Order of operations apply here. 7y3 is like saying 7 times y3. After y is cubed, then you multiply by 7. The variable y, not 7, is being raised to the third power.

4. (x + 5)5
exponent: 5
base: (x + 5)

5. 6x/11
exponent: x
base: 6

6. (5e)y+3
exponent: y + 3
base: 5e

7. (x/y)16
exponent: 16
base: (x/y)

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