Learn how to find quotient of two radical expression

The video tutorial explains the process of simplifying and multiplying expressions, followed by division under the radical. It emphasizes the importance of having the same index when dividing under a radical. The tutorial then covers the application of exponent rules, such as subtracting exponents during division, and demonstrates how to simplify expressions involving cube roots. Finally, it presents the preferred notation for the final answer, ensuring clarity and mathematical correctness.

What is the prerequisite for dividing under the same radical?

• Both numbers must be integers.

• Both numbers must have the same index.

• Both numbers must be prime.

• Both numbers must be even.

When dividing exponents, what operation is performed?

• Division

• Subtraction

• Addition

• Multiplication

How do you convert a negative exponent to a positive one?

• Add 1 to the exponent

• Multiply the base by itself

• Subtract 1 from the exponent

• Place it in the denominator

What is the cube root of X^3?

• X^2

• 1/X

• X

• X^4

What is the preferred way to write the expression involving cube roots?

• As a product of cube roots

• As a sum of cube roots

• As a fraction with cube roots in the denominator

• As a fraction with cube roots in the numerator