Exploring Powers and Exponents

This video tutorial covers the concept of powers and exponents, explaining the components of a power, namely the base and the exponent. It provides examples of how to express powers in factor form and evaluates powers with both constants and variables. The tutorial also introduces monomials and reviews key concepts, emphasizing the importance of identifying the exponent and base in mathematical expressions.

What are the two main components of a power?

• Base and exponent

• Base and coefficient

• Exponent and variable

• Exponent and coefficient

What is the factored form of 4 to the 3rd power?

• 4 / 4 / 4

• 4 - 4 - 4

• 4 x 4 x 4

• 4 + 4 + 4

What is the value of 2 to the 4th power?

• 20

• 16

• 12

• 8

What is the repeated multiplication form of 5 squared?

• 5 - 5

• 5 x 5

• 5 + 5

• 5 / 5

If the base is -3 and the exponent is 3, what is the factored form?

• -3 / -3 / -3

• -3 - -3 - -3

• -3 + -3 + -3

• -3 x -3 x -3

What is the value of x squared when x equals -4?

• 20

• 8

• 16

• 12

What is the value of -2 to the 3rd power?

• -8

• -10

• -6

• -12

What do we call a single term that can be a constant or a variable?

• Polynomial

• Binomial

• Trinomial

• Monomial

What is the factored form of y cubed?

• y - y - y

• y + y + y

• y x y x y

• y / y / y

What is the value of y cubed when y equals -2?

• -8

• -10

• -6

• -4