Learn simple geometric arguments for common algebraic identities.

Exponent Shortcuts

Exponents allow us to write large numbers concisely. For example, $6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 = 279,936$ but using exponents, we can write this simply as $6^7$.

While exponents make writing these values easier, it is often challenging or tedious to perform operations like addition and multiplication with such large numbers. In the upcoming problems, we'll see how the properties of exponents allow us to solve problems quickly and without needing to expand the exponential expressions.

Try to think of ways to solve the problems in this quiz that don't require expanding the exponents.