Exponents and Their Operations

The video covers Math 8 Unit 7 Lesson 8 on combining bases. It introduces the concept of multiplying expressions with different bases but the same exponent. The lesson includes activities to evaluate expressions, complete tables, and explore exponent rules. A class activity involves a game using exponent rules. The video also discusses number properties related to exponents and concludes with a summary and homework instructions.

What is the result of multiplying 5^3 by 2^3?

• 500

• 1000

• 125

• 250

When combining bases with the same exponent, what is the simplified form of 3^2 * 7^2?

• 21^2

• 10^2

• 30^2

• 14^2

What is the simplified form of 2^4 * 3^4?

• 8^4

• 12^4

• 6^4

• 9^4

What happens to the exponents when multiplying expressions with the same base?

• They are multiplied

• They are subtracted

• They are added

• They remain the same

Which rule applies when dividing expressions with the same base?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

How do you simplify the expression 2^3 * 5^2 * 3^2?

• 10^3 * 3^2

• 30^2

• 6^3

• 15^3

What is the result of 7^4 * 2^4 * 5^4?

• 35^4

• 70^4

• 14^4

• 10^4

What is the simplified form of 15^3 when broken down into its factors?

• 5^3 * 3^3

• 10^3

• 30^3

• 45^3

If a store charges $5 per pound and offers a $5 discount, how much cheese can you get for free?

• 1 pound

• 2 pounds

• 3 pounds

• 4 pounds

How much does store C charge per pound if the total cost for 5 pounds is $25, including a $10 delivery fee?

• $5

• $3

• $4

• $6