Simplify the following:
((-1)/4)^2+1/9
((-1)/4)^2 = (-1)^2/4^2:
(-1)^2/4^2+1/9
(-1)^2 = 1:
1/4^2+1/9
4^2 = 16:
1/16+1/9
Put 1/16+1/9 over the common denominator 144. 1/16+1/9 = 9/144+16/144:
9/144+16/144
9/144+16/144 = (9+16)/144:
(9+16)/144
Answer: | 25/144
+118658 Thanks Guest,
(-1/4)^2+1/9=
\((\frac{-1}{4})^2+\frac{1}{9}\\ =(\frac{-1*-1}{4*4})+\frac{1}{9}\\ =(\frac{1}{16})+\frac{1}{9}\\ =\frac{1}{16}+\frac{1}{9}\\ =\frac{1}{16}\times\frac{9}{9}+\frac{1}{9}\times \frac{16}{16}\\ =\frac{1*9}{16*9}+\frac{1*16}{9*16}\\ =\frac{9}{144}+\frac{16}{144}\\ =\frac{9+16}{144}\\ =\frac{25}{144}\\\)
