90% of students will rush and fall for this indices trap! 😅🛡️ Can you solve it

Indices questions often challenge students because many rush into applying addition or subtraction without carefully considering the laws of indices, especially during division. One common mistake is misinterpreting how to handle negative powers or how to simplify expressions involving multiplication and division of powers with the same base. For example, the question (5⁶ × 5³) ÷ 5⁷ requires using the laws that say when multiplying like bases, we add exponents: 5⁶ × 5³ = 5^(6+3) = 5⁹; then, when dividing like bases, we subtract exponents: 5⁹ ÷ 5⁷ = 5^(9-7) = 5². So, the answer is 5 squared, or 25. When I first encountered such problems, I had a habit of accidentally mixing the operations or misreading the division as influencing the exponent differently. But practicing problems without a calculator and writing every step helped me understand the process clearly and reduced careless errors. For students preparing for WAEC or JAMB, developing a solid grasp of these index laws can make a big difference because the exam questions often test both conceptual understanding and speed. Joining communities like #LearnWithPao or following daily practice challenges can turn these 'traps' into straightforward tasks. Remember, the key is to slow down, carefully analyze the expression, write out the exponent rules explicitly, and then solve step-by-step. This approach not only ensures accuracy but builds confidence for tackling similar algebra problems under exam pressure. Try timing yourself to solve similar problems in 10 seconds without a calculator, just like this challenge. It’s a great way to train your brain and improve both your speed and accuracy in indices!