## Exam-Style Question on Indices## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 539. This question is similar to one that appeared on a GCSE Higher paper in 2019. The use of a calculator is allowed.

There's an old Elvish wives tale that roughly translated reads:

Four To The Half Power Is Simple To Do

Just Halve The Four And The Answer Is Two.

Modern-day Elves extend this method to calculate other powers such as

$$ 16^{ \frac{1}{4}} = \frac{1}{4} \text{ of } 16 = 4 $$Is this calculation correct? If it is not explain what is wrong.

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