Multiplying Coefficients and Exponents

The video tutorial explains how to multiply exponents, emphasizing the importance of ensuring that variable bases are the same. It covers the process of adding exponents when multiplying variables and multiplying coefficients separately. The tutorial includes examples with both positive and negative coefficients, demonstrating the step-by-step process of solving these problems. The video concludes with a final example and a summary of the key points discussed.

What must be true about the variable bases when multiplying exponents?

• They must be negative.

• They must be positive.

• They must be the same.

• They must be different.

When multiplying exponents, what do you do with the exponents?

• Subtract them.

• Multiply them.

• Add them.

• Divide them.

How do you handle the coefficients when multiplying exponents?

• Add them.

• Subtract them.

• Multiply them.

• Divide them.

What is the product of the coefficients 4 and 2?

• 12

• 8

• 6

• 10

In the expression 4x^2 * 2x^3, what is the new exponent of x?

• 2

• 3

• 5

• 6

What is the product of -3 and 5?

• -15

• 0

• 15

• 10

In the expression -3x * 5x^3, what is the new exponent of x?

• 2

• 3

• 1

• 4

What is the product of -8 and 3?

• 24

• -24

• -11

• 11

In the expression -8x * 3, what happens to the variable x?

• It is squared.

• It remains the same.

• It is cubed.

• It is removed.

What is the final product of -8x * 3?

• -24x

• 24x

• -11x

• 11x