Understanding Consecutive Integers and Powers of Two

The video tutorial explains how to solve a problem involving consecutive positive integers and powers of two. It begins by identifying the power of two that equals 512, which is 2 to the ninth power. The task is to find three consecutive positive integers whose sum is nine. The integers 2, 3, and 4 are identified as the solution since their sum is nine. The video concludes by explaining that 2 squared, 2 cubed, and 2 to the fourth power multiply to 2 to the ninth, confirming the solution.

What is the power of two that equals 512?

• 2^11

• 2^10

• 2^9

• 2^8

Which set of three consecutive positive integers has a sum of nine?

• 1, 2, 3

• 4, 5, 6

• 3, 4, 5

• 2, 3, 4

If 2^a * 2^b * 2^c equals 512, what are the values of a, b, and c?

• 1, 2, 3

• 3, 4, 5

• 2, 3, 4

• 4, 5, 6

What is the sum of 2^2, 2^3, and 2^4?

• 29

• 26

• 27

• 28

Which of the following expressions equals 2^9?

• 2^2 * 2^3 * 2^4

• 2^3 * 2^3 * 2^3

• 2^4 * 2^4 * 2^1

• 2^5 * 2^2 * 2^2