Learning to find the quotient of the third root, cube root(81x^5 y^3) / cube root(3x^2)

The video tutorial explains how to simplify rational expressions by rewriting them under a radical symbol and applying the rules of exponents. It demonstrates the process of dividing terms and taking cube roots of simplified expressions, concluding with final recommendations.

What is the first step in simplifying expressions under a radical symbol?

• Divide the expressions

• Multiply the expressions

• Rewrite them under a single radical symbol

• Add the expressions

How do you simplify 81 divided by 3?

• 27

• 9

• 81

• 3

When dividing X^5 by X^2, what is the resulting power of X?

• X^2

• X^3

• X^5

• X^7

What is the cube root of 27?

• 9

• 3

• 6

• 27

What is the cube root of X^3?

• X

• 3X

• X^2

• X^3