Laws of Indices

What is the resource?

This PDF offers a reference sheet about index notation (powers). It explains rules for simplifying expressions like x² multiplied by x³, etc. Designed for secondary learners.

Why are index laws important?

They open up more advanced maths and have surprising real-world applications:

• Scientific notation: Tiny or huge numbers get manageable for physicists, astronomers etc.
• Compound growth: Used in finance to analyse how investments change over many years.
• Computer coding: Binary (bases and powers) is the heart of how programming languages function.
• Spread of trends: Exponential models help predict how fast ideas or infections may spread in a group.

Why is this resource helpful?

This 'cheat sheet' format aids review and helps overcome memory-based 'stumbling blocks':

• Clear rules summarised: Includes examples showing each law in action, in short terms.
• Common errors noted: Highlights where students most often slip up, encouraging self-checking.
• Builds fluency: Reduces panic at seeing powers; lets kids focus on wider problems, not just the basics.
• Printable PDF: Ideal as an in-class handout, on displays, or included with exam revision tasks.

This resource makes indices less intimidating. Students develop the comfort level needed to apply these rules seamlessly throughout maths & related fields.

Also, have a look at our wide range of worksheets that are specifically curated to help your students practice their skills in indices. These teaching resources and worksheets are in PDF format and can be downloaded easily.