Exploring Properties of Exponents

This video introduces Unit 3 of the Algebra 2 curriculum, focusing on polynomials and exponents. It begins with an overview of the curriculum, followed by basic ground rules for exponents. The video then explains the three main properties of exponents: multiplication, division, and power rules. An 'exponent cheer' is introduced to help remember these rules, and the video concludes with a complex problem-solving example.

What is the total number of main units in the Algebra 2 curriculum?

• Five

• Three

• Six

• Four

What does any number raised to the zero power equal?

• One

• Zero

• Undefined

• The number itself

How should negative exponents be handled in a fraction?

• Are eliminated

• Remain unchanged

• Move to the opposite side of the fraction and become positive

• Become zero

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

• Divide them

• Multiply them

• Subtract them

• Add them

What is the result of x^5 / x^5 using exponent rules?

• x^25

• x^10

• x^1

• x^0

What happens to the exponents when you divide terms with the same base?

• They are added

• They are subtracted

• They remain the same

• They are multiplied

If you have a term with an exponent raised to another exponent, what should you do with the exponents?

• Add them

• Multiply them

• Subtract them

• Divide them

What is the correct handling of a term like (x^4)^3?

• x^12

• x^7

• x^1

• x^0

How do you simplify a term with a negative exponent in the numerator?

• Move it to the denominator and make the exponent positive

• Leave it as is

• Convert it to zero

• None of the above

What is the simplified form of 2^-3 using the rules for negative exponents?

• -8

• 0

• 1/8

• 8