Negative Exponents and Fractions

The video tutorial explains how to raise fractions, including those with negative signs, to various powers. It begins with an introduction to the concept, followed by a detailed explanation of how negative fractions behave when raised to odd powers. The tutorial then demonstrates the process of raising fractions to a power by raising each part separately. Two examples are provided: one for raising 2/3 to the 3rd power and another for raising -2/5 to the 2nd power, illustrating the calculations step-by-step.

What is the first step when dealing with fractions raised to powers?

• Multiply the fraction by itself.

• Focus on the negative sign if it's inside parentheses.

• Raise the numerator and denominator separately.

• Ignore the negative sign.

When a negative fraction is raised to an odd power, what happens to the negative sign?

• It is ignored.

• It remains negative.

• It becomes positive.

• It is squared.

How do you raise a fraction to a power?

• Add the power to the fraction.

• Raise both the numerator and denominator to the power.

• Multiply the fraction by itself.

• Divide the fraction by the power.

What is 2 raised to the power of 3?

• 12

• 8

• 6

• 9

What is 3 raised to the power of 3?

• 9

• 18

• 36

• 27

What is the result of raising 2/3 to the power of 3?

• 9/27

• 4/9

• 6/18

• 8/27

In the example with -2/3, what is the final result when raised to the power of 3?

• -8/27

• 8/27

• 6/18

• -6/18

When a fraction has a negative numerator and a squared denominator, what is the first step?

• Square the numerator.

• Square the denominator.

• Multiply the fraction by itself.

• Ignore the negative sign.

What is 5 squared?

• 10

• 25

• 20

• 15

In the example with -2/5, what is the final result when the denominator is squared?

• -5/25

• -2/25

• 2/25

• 5/25