Understanding Exponents and Multiplication

The video tutorial explains how to express products in exponential form, highlighting the importance of identifying the base and exponent. It uses examples with numbers, negative bases, and variables to illustrate the concept. The tutorial emphasizes the need for parentheses with negative bases and demonstrates how multiplication's commutative property can affect the expression of complex bases. The video concludes with examples involving multiple variables, reinforcing the understanding of exponential notation.

What is the base and exponent in the expression 3 x 3?

• Base: 2, Exponent: 3

• Base: 3, Exponent: 2

• Base: 3, Exponent: 3

• Base: 2, Exponent: 2

How would you express 2 multiplied by itself 5 times in exponential form?

• 5 to the 2nd power

• 2 to the 5th power

• 5 to the 5th power

• 2 to the 4th power

Why is it important to use parentheses when writing -4 to the 4th power?

• To make it look neat

• To simplify the expression

• To ensure the base is -4, not 4

• To indicate multiplication

What is the exponential form of x multiplied by itself 6 times?

• x to the 5th power

• x to the 6th power

• x to the 3rd power

• 6x

How would you express 7B multiplied by itself 3 times?

• 7B to the 2nd power

• 7B to the 4th power

• 7B to the 3rd power

• 7 to the 3rd, B to the 3rd

What does the expression 7B mean in terms of multiplication?

• 7 plus B

• 7 divided by B

• 7 times B

• B minus 7

How can the expression 7B to the 3rd be rewritten using the commutative property?

• 7B x 7B x 7B

• 7B x 3

• 7 x B x 3

• 7 x 7 x 7 x B x B x B

In the expression A to the 3rd, B to the 2nd, how many factors of A and B are there?

• 3 factors of A, 2 factors of B

• 2 factors of A, 3 factors of B

• 3 factors of A, 3 factors of B

• 2 factors of A, 2 factors of B

What is the correct way to express A multiplied by itself 3 times?

• A to the 2nd power

• A to the 3rd power

• A to the 4th power

• 3A

How would you express B multiplied by itself twice?

• 2B

• B to the 3rd power

• B to the 2nd power

• B to the 4th power