Higher June 2025 Paper 5 Q14
14
(a) Find the value of \(4^{\frac{5}{2}}\). [2]
(b) Simplify.
\((3x^2)^{-3} \times 9x^8\) [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 32 | 2 | B1 for \(2^5\) oe or for \(1024^{\left[\frac{1}{2}\right]}\) or M1 for \(\sqrt[2]{4}^{\,5}\) or better | M1 accept e.g. 4 × 4 × 2 \(\left(4^{\frac{1}{2}}\right)^5\) alone is not enough for M1 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{1}{3}x^2\) or \(\frac{x^2}{3}\) final answer | 4 | B3 for answer \(\frac{1}{3}x^k\) \((k \ne 0)\) or \(\frac{9}{27}x^2\) or B2 for answer \(kx^2\) \((k \ne 0)\) or \(\frac{9}{27}x^k\) or B1 for \(\frac{1}{27}\) seen or \(\frac{9}{27}\) seen or \(x^{-6}\) oe seen | B1 oe e.g. \(x^6\) seen in the denominator of a fraction |