Exponents and Their Properties

This video tutorial covers the fundamentals of exponents, including understanding base and power, expanding and condensing exponents, and applying rules for multiplying, dividing, and handling power to a power. The tutorial emphasizes the importance of expanding expressions to grasp the underlying concepts and provides examples to illustrate these principles. The session concludes with a humorous segment on game show math fails.

What is the base in the expression 5^3?

• 15

• 8

• 5

• 3

How would you expand the expression (2/3)^3?

• 2/3 + 2/3 + 2/3

• 2/3 * 2/3 * 2/3

• 2/3 - 2/3 - 2/3

• 2/3 / 2/3 / 2/3

What is the condensed form of 4 * 4 * 4 * 4 * 4 * 4?

• 4^4

• 4^5

• 4^3

• 4^6

How would you write the expression 5 * 5 * y * y * y * y * y using exponents?

• 5^3 * y^4

• 5^5 * y^2

• 5^2 * y^5

• 5^4 * y^3

What is the result of multiplying 2^2 and 2^5?

• 2^5

• 2^3

• 2^7

• 2^10

How would you expand the expression (2x)^3?

• 2x / 2x / 2x

• 2x - 2x - 2x

• 2x + 2x + 2x

• 2x * 2x * 2x

What is the simplified form of (2^3)^2?

• 2^5

• 2^6

• 2^8

• 2^9

How would you write the expression 5^3 * 5^3 * 5^3 * 5^3 using exponents?

• 5^9

• 5^15

• 5^12

• 5^6

What is the result of dividing 2^4 by 2^2?

• 2^2

• 2^6

• 2^8

• 2^4

How would you simplify the expression 10x^7 / 2x^2?

• 20x^9

• 5x^5

• 20x^5

• 5x^9