Simplify a rational monomial

The video tutorial explains how to simplify polynomials by breaking down terms and applying the laws of exponents. It demonstrates the process of reducing fractions, handling negative exponents, and combining terms into a monomial. The tutorial emphasizes the importance of simplifying each component to achieve a complete monomial without addition or subtraction separating terms.

What is the first step in simplifying a polynomial expression?

• Combine all terms immediately

• Multiply all exponents

• Add all coefficients together

• Break down the terms into smaller parts

How can you simplify a fraction with a negative exponent?

• Multiply the exponents

• Invert the fraction

• Add the exponents

• Subtract the exponents

What does the law of exponents state about a negative exponent?

• It becomes zero

• It doubles the base

• It is equivalent to one over the base raised to the positive exponent

• It is equivalent to a positive exponent

What is the result of combining all simplified terms in a polynomial?

• A polynomial with addition

• A monomial

• A trinomial

• A binomial

What characterizes a monomial in the context of polynomial simplification?

• It is a single term with no addition or subtraction

• It is a term with only one variable

• It has multiple terms separated by addition

• It contains addition or subtraction