Learning how to simplify a rational expression

The video tutorial explains how to handle negative exponents by rewriting them as positive exponents. It covers the properties of exponents, including product and quotient rules, and demonstrates how to simplify expressions by moving terms between the numerator and denominator. The tutorial concludes with a step-by-step simplification of a rational expression, ensuring all terms are positive.

What is the correct way to rewrite a negative exponent in the numerator?

• Subtract 1 from the exponent

• Move it to the denominator and make it positive

• Add 1 to the exponent

• Multiply the base by 2

If you have X^3 * X^2, what is the simplified form using the product property of exponents?

• X^5

• X^9

• X^1

• X^6

How do you simplify X^a / X^b using the quotient property of exponents?

• X^(a-b)

• X^(a+b)

• X^(a*b)

• X^(a/b)

What is the result of simplifying 54 / 3?

• 17

• 18

• 20

• 19

After simplifying the expression, what is the final form of Y^2 / Y?

• Y^3

• Y^2

• 1

• Y