# Fractional equation

• Aug 31st 2006, 02:00 PM
violinist
Fractional equation
Help would be greatly appreciated...

-2-²
------
-2²

(Dotted line is a fraction line) I understand that 1/-2-² = -2²... but I am not sure how to do this one using that formula. :confused:
• Aug 31st 2006, 02:49 PM
Soroban
Hello, violinist!

Quote:

$\frac{-2^{-2}}{-2^2}$

Important . It does not say $(-2)^{-2}$ or $(-2)^2$

. . . . . . . . . .Only the $2$ is raised to a power.

We have: . $\frac{-(2^{-2})}{-(2^2)} \;=\;\frac{2^{-2}}{2^2}$ . . . (Negative $\div$ negative = positive)

Then: . $\frac{2^{-2}}{2^2} \;=\;2^{-2-2} \;=\;2^{-4}$ . . . (Division rule for exponents)

Finally: . $2^{-4} \;= \;\frac{1}{2^4} \;=\;\frac{1}{16}$

• Aug 31st 2006, 04:17 PM
violinist
Thanks so much!