Exponents provide a compact way to represent repeated multiplication and to simplify calculations involving very large and very small quantities.
Exponent
The small raised number in a power, for example the $n$ in $10^{n}$, which tells how many times the base is multiplied by itself. Negative exponents represent reciprocals.
Base
The number being raised to a power in an exponential expression.
Power
A number being multiplied by itself a specific number of times. Power is the whole expression including the base and the exponent.
A common mistake is confusing $-2^4$ with $(-2)^4$.
Use parentheses whenever the base is negative.
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