Negative Exponents

The video tutorial explains how to simplify the expression (2/3) to the negative third power. It begins by introducing the concept of negative exponents and how they require flipping the fraction. The tutorial then covers distributing the exponent to both the numerator and the denominator, resulting in 3 cubed over 2 cubed. Finally, the video walks through the calculation of these values, leading to the final simplified result of 27/8.

What is the first step when dealing with a negative exponent in a fraction?

• Add the exponent to both the numerator and denominator

• Flip the fraction

• Multiply the fraction by the exponent

• Subtract the exponent from both the numerator and denominator

After flipping the fraction, what should be done with the exponent?

• Add it to the numerator

• Ignore it

• Subtract it from the denominator

• Distribute it to both the numerator and denominator

What is the result of 3 cubed?

• 3

• 27

• 81

• 9

What is the result of 2 cubed?

• 8

• 10

• 6

• 4

What is the simplified result of (2/3) to the negative third power?

• 8/27

• 2/3

• 3/2

• 27/8