Properties of Exponents

Problem: 1

Simplify.

3² · 3³

Problem: 3

Evaluate:

Problem: 5

Evaluate:

Problem: 7

Simplify.

[(3x + 5)⁴]²

Problem: 9

Simplify.

Problem: 11

Simplify.

(2 · 8)²

Problem: 13

Simplify.

(–3d)⁴

Problem: 15

Simplify.

Problem: 17

Simplify.

[(–4xy)²]²

Problem: 19

Simplify.

(–xy) · (xy²)²

Problem: 21

Find the value of the expression 5⁰.

Problem: 23

Copy and complete the given table.

Problem: 25

Find the value of

Problem: 27

Without using a calculator find the value of the given expression.

2⁴ · 2^–8

Problem: 29

Simplify.

Problem: 31

Simplify.

Problem: 33

Simplify.

Problem: 35

Simplify.

Problem: 37

Simplify.

Problem: 39

Simplify.

Problem: 41

Evaluate the given expression.

Problem: 43

Express 3² · 3⁵ as a single power of the base.

Problem: 45

Express [(–7)⁶]² as a single power of the base.

Problem: 47

Assuming the denominator is not equal to zero, evaluate:

Problem: 49

Simplify.

Problem: 51

Simplify.

Problem: 53

Simplify.

Problem: 55

Assuming the denominator is not equal to zero, evaluate:

Problem: 57

Assuming the denominator is not equal to zero, evaluate:

Problem: 59

Assuming the denominator is not equal to zero, evaluate:

Problem: 61

Complete the equation.

2⁴ · 2^? = 2⁸

Problem: 63

Complete the equation.

r^? ·r⁶ = r¹²

Problem: 65

Complete the equation.

(3^?)⁴ = 3⁸

Problem: 67

Complete the equation.

[(–8)⁵]² = (–8)^?

Problem: 69

Complete using or .

Problem: 71

Complete the given statement.

Problem: 73

Complete the given statement.

Problem: 1

Simplify.

3² · 3³

Problem: 3

Evaluate:

Problem: 5

Evaluate:

Problem: 7

Simplify.

[(3x + 5)⁴]²

Problem: 9

Simplify.

Problem: 11

Simplify.

(2 · 8)²

Problem: 13

Simplify.

(–3d)⁴

Problem: 15

Simplify.

Problem: 17

Simplify.

[(–4xy)²]²

Problem: 19

Simplify.

(–xy) · (xy²)²

Problem: 21

Find the value of the expression 5⁰.

Problem: 23

Copy and complete the given table.

Problem: 25

Find the value of

Problem: 27

Without using a calculator find the value of the given expression.

2⁴ · 2^–8

Problem: 29

Simplify.

Problem: 31

Simplify.

Problem: 33

Simplify.

Problem: 35

Simplify.

Problem: 37

Simplify.

Problem: 39

Simplify.

Problem: 41

Evaluate the given expression.

Problem: 43

Express 3² · 3⁵ as a single power of the base.

Problem: 45

Express [(–7)⁶]² as a single power of the base.

Problem: 47

Assuming the denominator is not equal to zero, evaluate:

Problem: 49

Simplify.

Problem: 51

Simplify.

Problem: 53

Simplify.

Problem: 55

Assuming the denominator is not equal to zero, evaluate:

Problem: 57

Assuming the denominator is not equal to zero, evaluate:

Problem: 59

Assuming the denominator is not equal to zero, evaluate:

Problem: 61

Complete the equation.

2⁴ · 2^? = 2⁸

Problem: 63

Complete the equation.

r^? ·r⁶ = r¹²

Problem: 65

Complete the equation.

(3^?)⁴ = 3⁸

Problem: 67

Complete the equation.

[(–8)⁵]² = (–8)^?

Problem: 69

Complete using or .

Problem: 71

Complete the given statement.

Problem: 73

Complete the given statement.

Hotmath Practice Problems