Understanding Quotients of Radicals

The video tutorial explains how to express the quotient of radicals as a fractional power. It begins by introducing the concept of converting radicals to fractional powers using rational exponents. The tutorial then demonstrates how to subtract exponents when dividing expressions with the same base. It further explains the process of finding the least common denominator to facilitate the subtraction of fractional exponents. The lesson concludes with the final expression of the radical in fractional power form.

What is the index of the square root when expressing it as a fractional power?

• 4

• 3

• 2

• 1

How can the cube root of x squared be expressed using rational exponents?

• x to the power of 1/3

• x to the power of 2/3

• x to the power of 1/2

• x to the power of 3/2

When dividing expressions with the same base, what operation is performed on the exponents?

• Subtraction

• Addition

• Division

• Multiplication

What is the least common denominator used to find the difference between 7/2 and 2/3?

• 6

• 5

• 4

• 3

What is the final exponent of x in the expression after simplifying the quotient of radicals?

• 7/16

• 17/6

• 5/3

• 21/4