## Algebra 1: Common Core (15th Edition)

A. $\frac{1}{64}$
The quotient of powers property states that $\frac{x^{a}}{x^{b}}=x^{a-b}$ Also, a negative exponent is the reciprocal of its positive exponent: $x^{-a}=\frac{1}{x^{a}}$ Therefore: $\frac{4^{3}}{4^{6}}=4^{3-6}=4^{-3}=\frac{1}{4^{3}} = \frac{1}{64}$