Applying the quotient rule to simplify a rational expression

The video tutorial explains how to apply the rules of exponents to simplify expressions. It covers the basic rules: adding powers when multiplying, subtracting powers when dividing, and using reciprocals for negative exponents. The tutorial demonstrates these rules by simplifying expressions with the same base and reducing fractions, leading to a final simplified answer.

What is the rule for multiplying exponents with the same base?

• Multiply the powers

• Divide the powers

• Add the powers

• Subtract the powers

When dividing exponents with the same base, what operation is performed on the powers?

• Divide the powers

• Multiply the powers

• Subtract the powers

• Add the powers

How can you simplify the fraction 3/21?

• 7/3

• 3/7

• 1/7

• 1/3

What happens to a negative exponent when you want to make it positive?

• It is doubled

• It is used as a reciprocal

• It becomes zero

• It stays the same

What is the final simplified form of the expression given in the tutorial?

• X^2 / 7Y^3

• X^3 / 7Y^3

• X^2 / 7Y^4

• X^3 / 7Y^4