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 does the denominator in a fractional power indicate?

• The type of root to apply

• The number to be added

• The base number to be multiplied

• The exponent to be used

If you have a power of 1/3, what root should you apply?

• Square root

• Fifth root

• Fourth root

• Cube root

What is the result of 16 to the power of 1/2?

• 2

• 16

• 4

• 8

In a fractional power like 2/3, what does the numerator indicate?

• The number to subtract

• The power to apply after the root

• The type of root

• The base number

What is the final result of 64 to the power of 2/3?

• 32

• 16

• 8

• 64