Fractional Indices: Rules and Examples

The video tutorial explains fractional indices, focusing on powers that are fractions. It begins with fractional powers where the numerator is 1, demonstrating how to apply roots based on the denominator. Examples include calculating square roots and cube roots. The tutorial then progresses to two-stage fractional powers, where the numerator is not 1, explaining how to apply the root first and then the power. Examples illustrate these concepts, showing calculations for powers like 2/3 and 3/2. The tutorial emphasizes understanding the role of the numerator and denominator in fractional powers.

What is the rule for applying roots when dealing with fractional powers where the numerator is 1?

Explain how to solve the expression 16 to the power of 1/2 using the rules of fractional indices.

How do you handle a fractional power where both the numerator and denominator are different from one?

Describe the process for evaluating 64 to the power of 2/3.

What does the denominator of a fractional power indicate in terms of roots?