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

**Format of an exponent and base:** *b ^{n}*

^{}

**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. 3^{4}exponent:

base:

2. *x*^{4}exponent:

base:

3. 7*y*^{3}exponent:

base:

4. (*x* + 5)^{5}exponent:

base:

5. 6* ^{x}*/11

exponent:

base:

6. (5*e*)^{y+3}

exponent:

base:

7. (*x*/*y*)^{16}exponent:

base:

### 2. Exponent and Base Answers

1. 3^{4 }exponent: 4

base: 3

2. *x*^{4 }exponent: 4

base: *x*

3. 7*y*^{3 }exponent: 3

base: *y*

Note: Order of operations apply here. 7*y*^{3} is like saying 7 times *y*^{3}. 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. 6* ^{x}*/11

exponent:

*x*

base: 6

6. (5*e*)^{y+3}

exponent: *y* + 3

base: 5*e*

7. (*x*/*y*)^{16 }exponent: 16

base: (*x*/*y*)