Understanding the Power of a Product

The video tutorial explains the concept of the power of a product, where multiple terms are multiplied and raised to a power. It covers the rules for distributing exponents to all terms inside parentheses, including coefficients and bases. The tutorial provides three examples to illustrate the process of multiplying exponents and simplifying coefficients, demonstrating calculations with positive and negative bases.

What is the power of a product?

• Dividing terms and then raising them to a power

• Subtracting terms and raising them to a power

• Multiplying terms and then raising them to a power

• Adding terms and raising them to a power

When distributing exponents, what should be included?

• Neither coefficients nor bases

• Both coefficients and bases

• Only the coefficients

• Only the bases

How do you evaluate 4 to the fourth power?

• 512

• 256

• 128

• 64

What is the result of multiplying 9 by 2 in the context of exponents?

• 20

• 18

• 22

• 16

What is 8 to the second power?

• 16

• 128

• 32

• 64

What is the result of negative 5 raised to the third power?

• -75

• -125

• -150

• -25

What is the exponent of w when 2 is multiplied by 3?

• 6

• 4

• 3

• 5

What is the exponent of z when 8 is multiplied by 3?

• 24

• 16

• 20

• 28