Taking the even root of a term, sixth root

The video tutorial explains how to simplify radicals by rewriting radicands as products of powers. It demonstrates expressing 64 as 2 raised to the 6th power and Y to the 12th as Y squared raised to the 6th power. The process of simplifying these expressions under radicals is shown, resulting in a simplified form. The tutorial concludes with a brief mention of more complex examples to follow.

What is the sixth root of 64?

• 16

• 4

• 2

• 8

How can 64 be expressed as a number raised to the sixth power?

• 16^1

• 8^2

• 2^6

• 4^3

How can Y to the 12th power be rewritten as a power of 6?

• Y^2

• Y^4

• Y^3

• Y^6

What is the simplified form of the expression under the radical?

• Y^6

• 2Y^3

• Y^12

• 2Y^2

What is the next step after simplifying the expression under the radical?

• Ending the lesson

• Finding the square root

• Moving to a more complex example

• Rewriting the radicand