Exponents and Their Applications

The video tutorial introduces the laws of exponents, explaining each law with examples. It covers the product of powers, power of a power, power of a product, power of a quotient, and quotient of powers. Each law is demonstrated with practical examples to enhance understanding. The tutorial concludes with a summary of the key points discussed.

What is the result of multiplying 3^2 by 3^3 according to the first law of exponents?

• 3^8

• 3^9

• 3^6

• 3^5

If the length of a rectangle is 4^3 meters and the width is 4^2 meters, what is the area of the rectangle?

• 1024 square meters

• 256 square meters

• 2048 square meters

• 512 square meters

How do you simplify (4^2)^3 using the second law of exponents?

• 4^5

• 4^6

• 4^8

• 4^9

Mike bought 2^2^3 apples. How many apples did he buy?

• 64

• 128

• 32

• 16

What is the result of multiplying 2^2 by 3^2 using the third law of exponents?

• 9^2

• 12^2

• 5^2

• 6^2

Ayla bought 4^2 times 3^2 cupcakes. How many cupcakes did she buy?

• 144

• 36

• 288

• 72

How do you simplify (2/3)^2 using the fourth law of exponents?

• 4/9

• 2/9

• 1/9

• 8/27

If Ayuni eats (1/2)^3 of a pizza, how much of the pizza does she eat?

• 1/16

• 1/8

• 1/4

• 1/2

What is the result of dividing 2^3 by 2^2 using the fifth law of exponents?

• 2^2

• 2^1

• 2^0

• 2^3

K needs to go to the floor represented by 3^5/3^3. Which floor should K go to?

• 12th floor

• 9th floor

• 6th floor

• 3rd floor