# How do you evaluate the expression 4^-6*4^-1 using the properties?

May 4, 2017

color(green)(6.1035*10^-5

#### Explanation:

${4}^{-} 6 \cdot {4}^{-} 1$

$\therefore = \frac{1}{4} ^ 6 \cdot \frac{1}{4} ^ 1$

$\therefore = \frac{1}{4} ^ \left(6 + 1\right)$

$\therefore = \frac{1}{4} ^ 7$

$\therefore = \frac{1}{16384}$

$\therefore = 0.000061035$

:.=color(green)(6.1035*10^-5