1Cademy - Writing Expressions in Exponential Form

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Exponential Notation in Algebra

Concept

Writing Expressions in Exponential Form

To write a repeated multiplication expression in exponential form, identify the repeating factor to use as the base, and count the number of times it appears to determine the exponent. For instance, the expanded expression $2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2$ has $2$ as the repeating factor (base) appearing $9$ times, so it is compactly written in exponential form as $2^9$ . In general, a factor $a$ multiplied by itself $n$ times is written as $a^n$ .