Calculating with Negative Indices

# Calculating with Negative Indices

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).

## Examples

1. Calculate 42 ÷ 26.

Answer: frac(1)(4)

Rewrite the question as (22)2 ÷ 26.

Evaluate to 24 ÷ 26 = 2(4-6) = 2-2 = frac(1)(2^2) = frac(1)(4)

2. Calculate 52 ÷ 5-2.