Simplifying expressions with properties of exponents

The video tutorial explains how to handle negative exponents by rewriting terms and dividing expressions. It demonstrates the process of simplifying algebraic expressions by dividing terms by a monomial and applying exponent rules. The final answer is presented with a focus on converting negative exponents to positive by rewriting them in the denominator.

What is the equivalent expression for a term raised to a negative exponent?

• X to the power of the exponent

• X plus the exponent

• 1 divided by X to the power of the exponent

• X multiplied by the exponent

When dividing a polynomial by a monomial, what should you do with each term of the polynomial?

• Subtract the monomial from each term

• Multiply each term by the monomial

• Add the monomial to each term

• Divide each term by the monomial

What is the result of dividing 15Q^6 by 5Q^4?

• 3Q^2

• 15Q^2

• Q^2

• 5Q^2

How do you handle a negative exponent in the final expression?

• Leave it as is

• Convert it to a positive exponent by writing it in the denominator

• Add it to the numerator

• Ignore the negative sign

What is the final simplified expression for the given problem?

• 3Q^2 - Q^2

• 3Q^2 + 1/Q^2

• 3Q^2 + Q^2

• 3Q^2 + Q