Adding and Subtracting Rational Expressions

This video lesson covers the review of exponents, including zero and negative exponents, and the application of product, quotient, and power rules. It also explains how to add and subtract monomials by combining like terms and adjusting coefficients. The lesson progresses to multiplying and dividing monomials using the product and quotient rules, ensuring positive exponents. Finally, it concludes with the power rule and mixed practice problems to reinforce the concepts.

What is the value of any number raised to the zero power?

• Undefined

• The number itself

• 1

• 0

How can a negative exponent be converted into a positive exponent?

• By subtracting it from zero

• By adding it to itself

• By placing it under 1 in a fraction

• By multiplying it by -1

What is the result of combining 6w squared and 11w squared?

• 11w to the fourth

• 5w squared

• 6w to the fourth

• 17w squared

When subtracting monomials, what is crucial to ensure before performing the operation?

• They have the same coefficient

• They are both positive

• They have different bases

• They have the same exponent and variable

When multiplying monomials with the same base, what should you do with the exponents?

• Multiply them

• Add them

• Divide them

• Subtract them

What is the correct way to simplify a monomial division with the same base?

• Divide the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

How do you handle coefficients when multiplying two monomials?

• Subtract them

• Multiply them

• Divide them

• Add them

How do you simplify a monomial raised to a negative exponent?

• By subtracting it from the base

• By multiplying it by -1

• By adding it to the base

• By converting it to a fraction

What is the result of applying the power rule to (x^2)^3?

• x^5

• x^6

• 2x^3

• 3x^2

What is the simplified form of 4 to the negative third power?

• 1/12

• 64

• 12

• 1/64