Division with negative exponents requires careful handling. Step 1: Divide coefficients: \(\frac{9}{3} = 3\). Step 2: Subtract exponents: \(\frac{10^8}{10^{-2}} = 10^{8-(-2)} = 10^{8+2} = 10^{10}\). (Subtracting a negative is the same as adding positive). Step 3: Combine: \(3 \times 10^{10}\). Step 4: Check standard form: \(1 \leq 3 < 10\) ✓. Key insight: When dividing by a negative exponent, you're actually multiplying. This is because \(\frac{1}{10^{-2}} = 10^2\). So \(\frac{10^8}{10^{-2}} = 10^8 \times 10^2 = 10^{10}\). This concept frequently appears in ECZ exams, particularly in physics when dealing with very different scales (like comparing astronomical distances to atomic sizes). Many students make sign errors here, so practice is essential. Remember: subtracting a negative means add.

Break down complex topics into smaller, manageable chunks for easier recall.

Zambia

• ivwananji siwale – 29 pts

• Mid-point of A Line
• Equation of a Straight Line
• Parallel and Perpendicular Lines
• Area of Rectilinear Figures
• Distance of A Straight Line