Simplifying Rational Expressions

What is the first step in simplifying rational expressions?

• Write the final expression

• Simplify the coefficients

• Factor everything possible

• Eliminate exponents

When multiplying variables with exponents, what should you do with the exponents?

• Subtract them

• Add them

• Divide them

• Multiply them

What is the result of dividing x^3 by x^2 using exponent rules?

• x^5

• x^1

• x^6

• 1/x

How do you handle a negative exponent, such as x^-3?

• Flip it to the denominator

• Convert it to a positive in the numerator

• Multiply by -1

• Ignore the negative sign

In the expression 12y/y^3, what is the simplified form using exponent rules?

• 12y^3

• 12/y^2

• y^2/12

• 12y^2

What is the simplified form of 16/36 when factoring out the greatest common divisor?

• 2/7

• 4/9

• 1/2

• 8/18

How do you simplify the expression x^3/x^5?

• 1/x^2

• x^8

• x^2

• x^-2

What does the polynomial root finder tool help with in simplifying expressions?

• Solving equations

• Factoring polynomials

• Determining coefficients

• Finding the highest exponent

What is the result of simplifying the expression (y + 8)/(y^2 + 2y - 48) after factoring?

• y + 8

• (y - 6)/(y + 8)

• 1/(y - 6)

• 1

After factoring out common terms, what is left in the expression 12a^3 + 3a over 12a^3 + 6a^2?

• a - 1

• 2a - 1

• 2a + 1

• 3a + 1