Easy -1.2 This is a straightforward algebraic manipulation requiring only routine application of index laws (power of a product, multiplication of powers, division of powers). It's a single-step simplification with no problem-solving element, making it easier than average but not trivial since students must carefully track multiple variables and exponents.
\(4x^4y^{-3}\) or \(\frac{4x^4}{y^3}\) as final answer
B1 each 'term'
B0 if obtained fortuitously
M1 for numerator \(= 64x^{15}y^3\)
Mark B scheme or M scheme to advantage of candidate, but not a mixture of both schemes
M1 for denominator \(= 16x^{11}y^6\)
[3]
## Question 2:
| Answer | Marks | Guidance |
|--------|-------|----------|
| $4x^4y^{-3}$ or $\frac{4x^4}{y^3}$ as final answer | B1 each 'term' | B0 if obtained fortuitously |
| | M1 for numerator $= 64x^{15}y^3$ | Mark B scheme or M scheme to advantage of candidate, but not a mixture of both schemes |
| | M1 for denominator $= 16x^{11}y^6$ | |
| **[3]** | | |
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