Exponents and Volume Calculations

This video tutorial covers Math 6 Unit 6 Lesson 13 on expressions with exponents. It begins with an introduction to exponents and identifying which items do not belong in a group. The lesson progresses to evaluating the truth of equations involving exponents, finding equivalent expressions, and engaging in partner activities to explain reasoning. The session concludes with homework problems and practice exercises to reinforce understanding of exponents and expressions.

Which expression does not belong in the group: 2^4, 2 x 2 x 2 x 2, 4 x 2, or 16?

• 16

• 2^4

• 2 x 2 x 2 x 2

• 4 x 2

What is the result of 2^4?

• 8

• 16

• 32

• 64

Which of the following is a true statement?

• 5^3 = 5 x 5 x 5

• 3^5 = 3 + 3 + 3 + 3 + 3

• 2^3 = 3^2

• 8^2 = 8 x 2

If 5^2 is equivalent to 5 x 5, which other expression is equivalent to 5^2?

• 5 + 5

• 10

• 2 x 5

• 5 x 5

What is the result of (3/5)^2?

• 3/5

• 1/25

• 9/25

• 6/10

Which of the following can be a base in an expression with exponents?

• Whole numbers only

• Fractions only

• Whole numbers, fractions, decimals, and variables

• Decimals only

How many expressions are equal to 3^5?

• Three

• Two

• One

• Four

Noah adds 5 four times. Which expression represents his calculation?

• 5 x 4

• 5 + 5 + 5 + 5

• 4^5

• 5^4

What is the volume of a cube with an edge length of 2/3?

• 2/3

• 1/3

• 4/9

• 8/27

If a movie ticket costs $8.50 and the theater made $29,886 in sales, approximately how many tickets were sold?

• 5,000

• 3,000

• 3,500

• 4,000