Understanding the Power of a Product Property

The video tutorial explores the power of a product property, demonstrating how to distribute exponents across a product. It provides a detailed walkthrough of evaluating cube roots and square roots, using examples like 16^(1/3) and 32^(1/3) for cube roots, and 8^(1/2) and 4^(1/2) for square roots. The tutorial emphasizes simplification techniques and the importance of understanding root properties.

What is the power of a product property used for?

• To divide exponents

• To add exponents

• To distribute an exponent across a product

• To subtract exponents

What is the cube root of 16?

• 2

• 4

• 2 times the cube root of 2

• 8

How is 32 expressed in terms of its prime factors?

• 2 times 2 times 2

• 2 times 2 times 2 times 2

• 2 times 2

• 2 times 2 times 2 times 2 times 2

What is the cube root of 8?

• 4

• 3

• 1

• 2

What is the result of multiplying the outside terms in the expression 2 times 2?

• 3

• 8

• 2

• 4

What does raising a number to the one-half power represent?

• Cube root

• Square root

• Fourth root

• Fifth root

What is the square root of 4?

• 2

• 4

• 1

• 3

How is 8 expressed in terms of its prime factors?

• 2 times 2

• 2 times 2 times 2

• 2 times 2 times 2 times 2

• 2 times 2 times 2 times 2 times 2

What is the result of multiplying the outside terms in the expression 2 times 2 when dealing with square roots?

• 5

• 4

• 3

• 2

What is the final simplified form of the expression involving square roots?

• 4 square root 2

• 5 square root 2

• 3 square root 2

• 2 square root 2