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In this lesson, we take exponential laws a step further by applying them to calculate and simplify complex expressions. Learners are guided through the essential strategy of breaking numbers down into prime bases, making even the most intimidating calculations manageable. The focus is on systematic problem-solving, equipping learners with the tools to tackle these problems confidently, without relying on a calculator. You will learn: How to convert composite numbers into prime bases to simplify calculations Step-by-step techniques for applying exponent laws to complex numerical expressions How to approach and solve expressions involving the addition and subtraction of terms with exponents (using factorisation) How to accurately handle negative and rational (fractional) exponents in calculations Common traps when calculating with exponents and how to sidestep them This lesson is perfect for learners who need a structured approach to solving multi-step exponent problems without getting lost in the numbers. Ideal for revision, intervention support, homework assistance, and exam preparation.