Exponents and Order of Operations Challenge

This video tutorial covers the basics of exponents and the order of operations. It begins with an introduction to exponents, explaining the base and exponent notation. The tutorial then provides examples of evaluating exponential expressions, such as 3 to the 4th power and 8 squared. The lesson progresses to the order of operations, using the acronym PEMDAS to guide the process. Examples are provided to demonstrate how to evaluate expressions step-by-step, ensuring a clear understanding of the sequence of operations.

What does an exponent tell us?

• The value of the exponent

• How many times to multiply the base by itself

• How many times to add the base to itself

• The value of the base

In the expression 3^4, what is the base?

• 4

• 3

• 7

• 12

What is 2^4 equal to?

• 64

• 32

• 16

• 8

What is the result of 4^3?

• 81

• 12

• 16

• 64

What is the result of 2^5?

• 16

• 64

• 24

• 32

What is the first step in the order of operations?

• Exponents

• Parentheses

• Multiplication

• Addition

What is the correct order of operations?

• Exponents, Parentheses, Multiplication, Division, Addition, Subtraction

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Parentheses, Exponents, Addition, Subtraction, Multiplication, Division

• Multiplication, Division, Parentheses, Exponents, Addition, Subtraction

What is the final step in the order of operations?

• Multiplication

• Division

• Subtraction

• Addition

Evaluate the expression: 8 + (4^2 - 12)

• 4

• 20

• 16

• 12

What is the result of 24 - 15^2 + 2^4 / 2?

• 97

• 89

• 105

• 81