Exponents and Powers Concepts

The video tutorial explains how to simplify exponential expressions. It covers five squared, two-thirds cubed, negative two raised to the fourth power with and without parentheses, and two x squared raised to the third power. Each example is broken down step-by-step, demonstrating how to multiply factors and handle negative bases.

What is the result of five squared?

• 25

• 20

• 15

• 10

How many factors of five are there in five squared?

• Two

• One

• Four

• Three

What is the result of cubing two-thirds?

• 8/27

• 4/27

• 4/9

• 8/9

How many factors of two-thirds are multiplied in two-thirds cubed?

• One

• Three

• Two

• Four

What is the result of negative two raised to the fourth power when the negative sign is inside the parentheses?

• -16

• -8

• 16

• 8

What is the result of negative two raised to the fourth power when the negative sign is outside the parentheses?

• 8

• -16

• 16

• -8

How does the placement of the negative sign affect the result of negative two to the fourth power?

• It doesn't affect

• It makes the result negative

• It makes the result positive

• It doubles the result

What is the result of two x squared raised to the third power?

• 8x^3

• 8x^6

• 4x^6

• 4x^3

How many factors of x are there in the expression (2x^2)^3?

• Eight

• Six

• Four

• Two

What is the base in the expression (2x^2)^3?

• 2

• x

• 2x

• 2x^2