Negative Exponents Explained

This video tutorial covers the concept of exponents, focusing on negative exponents and their representation as fractions. It explains how to interpret exponent tables, the role of negative exponents, and provides examples to illustrate these concepts. The video also includes advanced examples to reinforce understanding and concludes with a summary of key points.

What operation can be used to go from 32 to 16 in the table?

• Divide by 2

• Subtract 8

• Add 16

• Multiply by 2

What does a negative exponent create?

• Negative numbers

• Zero

• Positive numbers

• Fractions or reciprocals

What is the result of 2 to the negative second power?

• 2

• 4

• 1/4

• 1/2

What happens to a negative exponent in the denominator?

• It stays negative

• It moves to the numerator and becomes positive

• It becomes zero

• It flips the fraction

In the expression 5x^(-6), where does the x move?

• Denominator

• It becomes zero

• Numerator

• It stays in place

What should you do first when simplifying a fraction with a negative exponent?

• Distribute the exponent

• Reduce inside the fraction

• Flip the fraction

• Add the exponents

What is the result of distributing a negative exponent to a fraction?

• The fraction stays the same

• The fraction flips and the exponent becomes positive

• The numerator becomes zero

• The denominator becomes zero

In the expression (2x^3)/(3y^2), what happens to the x and y when simplified?

• x and y both move to the numerator

• x moves to the numerator, y moves to the denominator

• x moves to the denominator, y moves to the numerator

• x and y stay in place

What is the final result of simplifying (2x^3)/(3y^2) with a negative exponent?

• 2x^3/3y^2

• 2x^3

• 3y^2/2x^3

• 1/2x^3

What is the final answer for the expression with negative exponents in the last example?

• 1/x^9y^9

• 3/x^9y^9

• 3x^9/y^9

• 3x^9y^9