Using the cube root to simplify the odd root of an expression

The video tutorial explains how to find numbers that multiply to 54 and how to take the cube root of an expression involving Y to the 10th power. The instructor demonstrates rewriting the expression to match the power with the index, grouping terms, and simplifying the expression to find the final answer. The tutorial concludes with encouragement to try similar problems.

Which two numbers multiply to give 54?

• 7 and 8

• 6 and 9

• 4 and 12

• 5 and 10

What is the cube root of 27?

• 5

• 4

• 3

• 2

How can Y to the 10th power be expressed using Y to the third power?

• Y^4 * Y^4 * Y

• Y^2 * Y^2 * Y^2 * Y^2

• Y^5 * Y^5

• Y^3 * Y^3 * Y^3 * Y

What is the cube root of Y^3?

• Y^2

• Y^4

• Y

• Y^3

What is the final simplified expression for the cube root of 3 * 3 * 3 * 2 * Y^10?

• 3Y^3 cube root of 2Y

• 2Y^3 cube root of 3Y

• 3Y^2 cube root of 2Y

• Y^3 cube root of 6Y