Simplifying Expressions with Exponents

The video tutorial explains how to simplify expressions without negative exponents. It starts by combining like terms, then addresses how to handle exponents by adding them instead of multiplying. The tutorial concludes by moving negative exponents to the denominator to make them positive, resulting in the final simplified expression.

What is the first step in simplifying an expression without negative exponents?

• Divide by the largest exponent

• Multiply all terms

• Combine like terms

• Add all coefficients

When combining like terms, what is the result of multiplying -2 and 3?

• -5

• 6

• -6

• 5

What should you do with the exponents when multiplying terms with the same base?

• Divide the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

What is the result of adding the exponents 7 and 2?

• 9

• -5

• 5

• 2

What is the result of adding the exponents 7 and 5 for the y terms?

• 7

• 5

• 2

• 12

What is the result of multiplying x^-7 and x^2?

• x^-9

• x^9

• x^5

• x^-5

What is the result of multiplying y^7 and y^5?

• y^7

• y^2

• y^5

• y^12

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

• Add it to the numerator

• Leave it as is

• Multiply it by -1

• Move it to the denominator

What happens to the coefficient -6 in the final expression?

• It is added to the exponent

• It is divided by 2

• It stays the same

• It becomes positive

What is the final form of the expression after simplifying?

• -6x^2/y^5

• 6y^2/x^5

• -6y^2/x^5

• -6x^5/y^2