Exponent Rules Flashcards: Laws and Practice

Question 1

What does $a^n$ mean when $n$ is a positive integer?

Accepted Answer

$a^n$ means multiplying $a$ by itself $n$ times: $a^n = \underbrace{a\cdot a\cdot \ldots \cdot a}_{n	ext{ factors}}$.

Question 2

State the power rule for a power raised to a power.

Accepted Answer

$$(a^m)^n = a^{mn}$$ for $a
eq 0$ and integers $m,n$.

Question 3

When do you use scientific notation, and what form does it have?

Accepted Answer

Use it to write very large or very small numbers compactly: $$a	imes 10^n$$ where $1\le a<10$ and $n$ is an integer.

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