Negative and Fractional Powers

The video tutorial explains how to handle negative fractional powers by finding reciprocals and applying fractional power rules. It provides examples, such as A to the power of -4/5 and 9 to the power of -3/2, demonstrating step-by-step calculations. The tutorial also covers reversing the process, converting expressions with roots and powers into negative fractional powers, and concludes with a summary of the key concepts.

What is the first step in handling a negative fractional power like A to the power of -4/5?

• Add the power to the base

• Multiply the base by the power

• Square the base

• Find the reciprocal of the base

After finding the reciprocal for a negative power, what is the next step when dealing with fractional powers?

• Multiply the base by the power

• Find the root indicated by the denominator

• Add the power to the base

• Subtract the power from the base

In the example of 9 to the power of -3/2, what is the result after applying the square root and cube operations?

• 1/9

• 1/27

• 1/3

• 1/81

How can the expression 1 divided by the 7th root of a squared be rewritten using a single power?

• A to the power of -7/2

• A to the power of 7/2

• A to the power of -2/7

• A to the power of 2/7

What does the negative sign in a power indicate when converting roots to powers?

• The base should be cubed

• The expression is a reciprocal

• The base should be multiplied by 10

• The base should be squared