Where Form 2220 Index 2023-2024

Hi there and welcome to another video from Hegarty Maths. It's Mr. Hegarty here, and in this video, we're talking about index form. This is our second video on the topic, where we focus on powers of 1. So let's start by looking at some index form tables that we completed in video 1. In the previous video, I asked you to complete the power tables for powers of 2, powers of 3, powers of 4, and powers of 5. If you haven't done that yet, please go back to index form video 1, as it will make this video and the subsequent ones much better. In this particular video, we will be focusing on anything to the power of 1 and anything to the power of 0. Can you spot what the answer is always? Anything to the power of 1 always gives you the same number back. For example, 2 to the power of 1 gives you 2, 3 to the power of 1 gives you 3, and so on. It's straightforward and obvious, as 2 to the power of 1 means 2 multiplied by itself once. Now, some students may think that based on the patterns we've discovered previously, anything to the power of 0 is always 1. 2 to the power of 0, 3 to the power of 0, 4 to the power of 0, 5 to the power of 0, and so on. However, the correct explanation is that anything to the power of 0 is always 1. Let's write a rule for this. The power of 0 rule: any number to the power of 0 gives you 1, always. For example, 7 to the power of 0 is 1, negative 2 to the power of 0 is 1, 1.37 to the power of 0 is 1....