Do you UNDERSTAND? 5. Vocabulary A positive exponent shows repeated multiplication. What repeated operation does a negative exponent show?

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A negative exponent indicates repeated division. Specifically, a negative exponent $$ -n $$ can be expressed as:

$$
a^{-n} = \frac{1}{a^n}
$$

This means that instead of multiplying the base $$ a $$ by itself $$ n $$ times, you are dividing 1 by $$ a $$ multiplied by itself $$ n $$ times.

For example:
- $$ 2^{-3} = \frac{1}{2^3} = \frac{1}{8} $$

So, the repeated operation that a negative exponent shows is division.
A negative exponent shows repeated division.

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