Multiplying two rational expressions and then using the rules of exponents to simplify

The video tutorial explains how to multiply expressions using the rules of exponents. It begins by introducing the concept of multiplication without addition or subtraction, emphasizing the use of exponent rules. The teacher demonstrates how to group and rearrange terms for simplification, followed by simplifying fractions before multiplication. The tutorial continues with combining terms and simplifying expressions, and concludes with applying the quotient rule to finalize the expression. The final result is a simplified expression of 3X to the third, Y to the eighth, all over 4.

What is the main operation being performed in the example discussed?

Explain how the rules of exponents are applied in the multiplication process described.

What simplifications can be made before multiplying the numbers in the example?

Describe the process of reducing the fraction mentioned in the example.

What is the final expression obtained after applying the quotient rule of exponents?