UNIT OVERVIEW

Exponents are mathematical shortcuts. They help us write very large or very small numbers in a compact way.

In this unit, you will learn to:

• Apply and extend all the exponent laws from Grade 9
• Understand why these laws work
• Work confidently with zero and negative exponents
• Simplify expressions using multiple exponent laws
• Solve exponential equations
• Use rational (fractional) exponents and connect them to roots
• Apply exponent skills to real-world problems

Why Exponents Matter:

1. Compound Interest: Bank savings grow using $A = P(1 + r)^n$. Exponents help you calculate how R5 000 grows over 10 years.

2. Population Growth: Scientists model how populations grow using exponents.

3. Digital Storage: Your phone's storage is measured in gigabytes ($10^9$ bytes). Exponents make these large numbers manageable.

4. Earthquakes: The Richter scale uses powers of 10. A magnitude 6 earthquake is 10 times stronger than magnitude 5.

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