Expand the Expression: Converting 4^-6 to Standard Form

The problem asks us to expand the expression $4^{-6}$ using the rules of exponents.

To start, recognize that the negative exponent $-6$ can be split into smaller parts, which can be achieved by breaking it into two equal parts: $-3 + (-3)$. This means we can rewrite $4^{-6}$ as:

$4^{-6} = 4^{-3 + (-3)} = 4^{-3} \times 4^{-3}$

By expressing $4^{-6}$ as a product of two identical terms, $4^{-3} \times 4^{-3}$, we have expanded the original expression correctly according to the rules of exponents. This uses the property of exponents that states $a^{m+n} = a^m \times a^n$.

Thus, the expanded form of $4^{-6}$ is $4^{-3} \times 4^{-3}$.