Mastering Exponents and Order of Operations in Algebra

This video tutorial introduces exponents and the order of operations in algebra. It begins with a basic explanation of exponents as a shorthand for multiplication, followed by examples to illustrate their use. The concept of factors is introduced, explaining how they are multiplied to achieve a result. The tutorial then covers the order of operations, emphasizing the importance of parentheses and exponents. Finally, practice problems are provided to reinforce the concepts learned.

What is the value of 4 squared?

• 12

• 8

• 20

• 16

Which of the following is NOT equal to 4 squared?

• 16

• 4^2

• 4 * 4

• 4 * 2

What is the value of (1/10)^4?

• 1/10000

• 1/1000

• 1/100000

• 1/100

How do you write 1/2 raised to the 6th power?

• 1/2 * 6

• 1/2^6

• 1^6 / 2^6

• 1/2 * 1/2 * 1/2

What is a factor in algebra?

• A number that is added

• A number that is subtracted

• A number that is multiplied

• A number that is divided

If x = 3, what is the value of 4x^2?

• 36

• 48

• 9

• 12

What is the first step in evaluating 5y^3 if y = 2?

• Multiply 5 by 2

• Cube 2

• Add 5 and 2

• Divide 5 by 2

What is the correct order of operations?

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

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

• Multiplication, Division, Addition, Subtraction

• Addition, Subtraction, Multiplication, Division

Evaluate 3 + 5^2 following the order of operations.

• 28

• 25

• 16

• 64

What is the result of 2 + 3 * 5 - 4?

• 11

• 21

• 13

• 17