## anonymous 5 years ago how do you simplify (2^-2 + 5^-1)^-2

1. anonymous

okay. what does 2^-2 mean? do you know?

2. anonymous

3. amistre64

you write it in arabic :)

4. anonymous

Alright, the problem is the following:$\frac{1}{(2^{-2} + 5^{-1})^2}$ when you have a negative power, you can make it positive by simply changing its position ^_^. So now you have : $\frac{1}{\frac{1}{2^2} + \frac{1}{5}}= \frac{1}{\frac{1}{4} + \frac{1}{5}}$ Now compute the denominator, then work it out as a simple fraction : $=\frac{1}{\frac{5+4}{20}}=\frac{1}{\frac{9}{20}} = \frac{20}{9}$ I hope this made the concept of the idea clearer ^_^

5. anonymous

lol wait, I forgot the square part, but you'll figure it out :)sorry ^_^