A negative index indicates that the value is a reciprocal of the number.

Write the number as a denominator, changing the negative index to a positive index. Set the numerator to 1.

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

Calculate 4^{2} ÷ 2^{6}. Write the answer as a fraction.

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)`

Answer: `frac(1)(4)`

Calculate 5^{2} ÷ 5^{-2}.

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

Answer: 625

See also Multiplying and Dividing Power Terms

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