Exponents and Their Properties

The video tutorial provides a comprehensive review of exponents, starting with basic definitions and examples. It covers the laws of exponents, including multiplication, division, and power of a power. Special cases such as exponents of 1 and 0 are explained, followed by a discussion on negative exponents. The tutorial emphasizes understanding through examples and encourages viewers to practice and engage with the content.

What is the base in the expression 3 raised to the power 4?

• 12

• 7

• 4

• 3

How many times is the base multiplied by itself in 2 raised to the power 5?

• 10

• 2

• 5

• 32

What is the area of a rectangle with length 3^3 meters and breadth 3^2 meters?

• 81 m²

• 27 m²

• 243 m²

• 9 m²

In the expression z^m * z^n, what do you do with the exponents?

• Divide them

• Multiply them

• Add them

• Subtract them

What is 5^2 * 5^3 equal to?

• 5^5

• 5^6

• 5^8

• 5^10

If you have identical exponents but different bases, what should you do?

• Subtract the bases

• Multiply the bases

• Divide the bases

• Add the bases

What is (5 * 4)^2 equal to?

• 20^2

• 9^2

• 5^4 * 4^4

• 5^2 * 4^2

What operation is performed on the exponents when dividing identical bases?

• Add them

• Divide them

• Subtract them

• Multiply them

What is 7^9 / 7^3 equal to?

• 7^2

• 7^12

• 7^3

• 7^6

What do you do with the exponents when one exponent is raised to another?

• Divide them

• Subtract them

• Multiply them

• Add them