Exploring Pre-Lesson Concepts in Step 9

This video tutorial covers the properties and rules of exponents, including adding, subtracting, multiplying, and dividing exponents, as well as handling negative and zero exponents. It emphasizes the importance of understanding these rules for future mathematical studies and provides practice problems to reinforce learning.

What is required for adding or subtracting exponents?

• The bases must be the same and the exponents must match.

• The bases must be the same, but exponents can differ.

• Only the exponents need to match.

• The bases and exponents must be different.

How do you multiply exponents with the same base?

• Subtract the exponents.

• Divide the exponents.

• Add the exponents.

• Multiply the bases.

What is the result of raising an exponent to another exponent?

• Divide the two exponents.

• Subtract the inner exponent from the outer.

• Add the two exponents.

• Multiply the two exponents.

How does the power rule affect the base of an exponent?

• It leaves the base unchanged.

• It multiplies the base by the exponent.

• It raises the base to the power of 2.

• It changes the base.

How do you divide exponents with the same base?

• Add the exponents.

• Multiply the exponents.

• Subtract the exponent in the denominator from the exponent in the numerator.

• Divide the bases.

What happens when you subtract exponents in a division operation?

• You get the base raised to the power of the difference.

• The base changes.

• The operation becomes multiplication.

• The exponents are added instead.

What does a negative exponent indicate?

• The base is negative.

• The term becomes zero.

• The term belongs in the denominator of a fraction.

• The exponent should be subtracted.

What is the correct way to handle a negative exponent?

• Convert the exponent to a positive by moving the term to the denominator.

• Ignore the negative sign.

• The term becomes zero.

• Multiply the base by -1.

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

• The base itself

• 1

• Undefined

• 0

When simplifying expressions, what should you do first?

• Multiply the bases.

• Simplify inside parentheses.

• Apply the power rule.

• Add the exponents.