Simplifying a rational expression using the property of exponents

The video tutorial explains how to simplify expressions with exponents. It begins by introducing the product property of exponents, which involves adding exponents when multiplying like bases. The teacher then demonstrates simplifying the numerator by combining terms with the same base and applying the product property. Next, the denominator is addressed, and the expression is further simplified by dividing exponents. The tutorial concludes with the final simplified expression, emphasizing the importance of understanding exponent rules for rational expressions.

What is the product property of exponents?

What happens to the exponents when multiplying like bases?

How do you simplify the expression 27 X^10 divided by 16 X^4?

Can the fraction 27/16 be simplified further? Explain your answer.

What is the final simplified form of the expression discussed?