GCSE Secondary Maths Age 13-17 - Algebra: Indices - Explained

The video tutorial explains how to handle fractional and negative indices through two examples. In Part A, the process of converting 81 to the power of -1/2 into a positive index and then finding the square root is demonstrated. In Part B, the tutorial covers solving 64/125 to the power of 2/3 by first finding the cube root and then squaring the result. The video emphasizes understanding the steps involved in manipulating indices and provides marks for each part of the solution.

What is the first step when dealing with a negative index?

• Convert it to a positive index

• Multiply by zero

• Add one to the index

• Subtract one from the index

How can the index of 1/2 be interpreted?

• As a reciprocal

• As a fourth root

• As a square root

• As a cube root

What is the square root of 81?

• 9

• 10

• 8

• 7

What is the cube root of 64?

• 2

• 5

• 4

• 3

What is the final result of 64/125 raised to the power of 2/3?

• 4/5

• 8/25

• 1/5

• 16/25