Subjects algebra

Exponent Definition

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Exponent Definition


1. The problem is to understand what an exponent is. 2. An exponent refers to the number that indicates how many times a base is multiplied by itself. 3. For example, in the expression $a^n$, $a$ is the base and $n$ is the exponent. 4. If $n$ is a positive integer, $a^n$ means multiplying $a$ by itself $n$ times: $$a^n = \underbrace{a \times a \times \cdots \times a}_{n\text{ times}}.$$ 5. For instance, $3^4 = 3 \times 3 \times 3 \times 3 = 81$. 6. Exponents can also be zero or negative, where $a^0 = 1$ if $a \neq 0$, and $a^{-n} = \frac{1}{a^n}$ for positive $n$. 7. In summary, an exponent tells you how many times to use the base in a multiplication.