How to simplify the root of a variable expression by using product property of exponents

The video tutorial explains how to use factor trees and square numbers to simplify expressions. It introduces the concept of rewriting numbers using square roots instead of factor trees, and demonstrates how to simplify variables with exponents. The tutorial concludes with a final simplification of expressions, emphasizing the importance of understanding square roots and exponents.

Which of the following is a square number?

• 9

• 11

• 10

• 8

How can 200 be rewritten to simplify its square root?

• 25 * 8

• 20 * 10

• 100 * 2

• 50 * 4

What is the square root of 100?

• 15

• 10

• 20

• 5

How can A to the 6th power be expressed to simplify its square root?

• a^4 * a^2

• a^6

• a^2 * a^2 * a^2

• a^3

What remains under the square root when simplifying a^3 b^3 sqrt(2B)?

• 2 and B

• A and B

• B and A

• 2 and A