Higher June 2019 Paper 3 Q12
12 Patrick has to work out the exact value of \(64^{\frac{1}{4}}\)
Patrick says,
“\(\dfrac{1}{4}\) of 64 is 16 so \(64^{\frac{1}{4}} = 16\)”
Explain what is wrong with what Patrick says. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | C1 | for explanation eg needs to find 4th root or gives the correct answer of 2.828… Acceptable examples: He needs to find \(\sqrt[4]{64}\) It should be 2.8..(or \(2\sqrt{2}\)) It is not asking for \(64 \div 4\), it is asking what number to the power of 4 = 64 \(64^{\frac{1}{4}}\) means the fourth root not a quarter of 64 \(64^{\frac{1}{4}}\) means square root and square root again, not divide by 4 Not acceptable examples: It should be 2 The expression is 64 to the power of \(\frac{1}{4}\) \(64^{\frac{1}{4}}\) is not a \(\frac{1}{4}\) of 64 |