GCSE(F) GCSE(H)

A negative index indicates that the value is a **reciprocal** of the number: the number is written as a denominator and the numerator is set to 1.

For example, 2^{-2} can also be written as `frac(1)(2^2)` which evaluates to `frac(1)(4)`.

1. Calculate 4^{2} ÷ 2^{6}.

Answer: `frac(1)(4)`

Rewrite the question as (2^{2})^{2} ÷ 2^{6}.

Evaluate to 2^{4} ÷ 2^{6} = 2^{(4-6)} = 2^{-2} = `frac(1)(2^2)` = `frac(1)(4)`

2. Calculate 5^{2} ÷ 5^{-2}.

Answer: 625

5^{(2 - -2)} = 5^{4}.

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