How to use the division rules of exponents to simplify

The video tutorial explains how to divide monomials by applying the rules of exponents. It begins with an introduction to the problem, highlighting the importance of having the same base for using exponent rules. The tutorial then demonstrates how to simplify fractions by reducing them to their simplest form. Finally, it covers the application of exponent rules, specifically subtracting exponents when dividing terms with the same base, and provides different ways to represent the final expression.

What is necessary for the rules of exponents to be applied when dividing monomials?

• The bases must be different.

• The numbers must be prime.

• The bases must be the same.

• The exponents must be equal.

How can the fraction 12/36 be simplified?

• 2/3

• 1/3

• 3/4

• 1/2

What is the result of dividing N^5 by N^1?

• N^3

• N^5

• N^4

• N^6

Which operation is performed on the exponents when dividing variables with the same base?

• Division

• Subtraction

• Multiplication

• Addition

How can the expression 1/3 * X^4 be alternatively written?

• X^3 / 4

• X^4 / 3

• 3 * X^4

• 4 * X^3