Applying Negative Indices: Understanding and Using the Rule

The video tutorial explains the concept of negative powers and how to handle them using algebraic manipulation and the reciprocal technique. It begins with an introduction to negative powers, followed by a detailed explanation of the rules and laws governing them. The tutorial demonstrates the reciprocal technique, which involves flipping fractions to handle negative powers. Several examples are provided to illustrate the application of these rules, culminating in a final example that reinforces the key concepts. The tutorial concludes with a summary of the technique for applying negative indices.

What is the result of applying a negative power to a fraction?

• The fraction remains unchanged.

• The fraction is squared.

• The fraction is multiplied by zero.

• The fraction is flipped.

When dividing two terms with the same base, what operation is performed on the exponents?

• The exponents are added.

• The exponents are subtracted.

• The exponents are multiplied.

• The exponents are divided.

What is the reciprocal of 3/X when raised to the power of -1?

• 3/X

• X/3

• 1/3

• X

How do you handle a negative exponent when there is no fraction?

• Find the reciprocal of the term.

• Add one to the exponent.

• Multiply by zero.

• Square the term.

What happens to the negative sign in the exponent after applying the reciprocal?

• It remains unchanged.

• It is dropped.

• It is squared.

• It is doubled.

What is the result of 3 to the power of -3?

• 1/27

• 1/9

• 27

• 9

What is the simplified form of X to the power of -2?

• X^2

• 1/X^2

• X

• 1/X