Question

(1/3+1/6)^2:(-0,5)^2

Answer 1

\(\left(\dfrac{1}{3}+\dfrac{1}{6}\right)^2:\left(-0,5\right)^2\)
\(=\left(\dfrac{2}{6}+\dfrac{1}{6}\right)^2:0,25\)
\(=\left(\dfrac{3}{6}\right)^2:\dfrac{25}{100}\)
\(=\left(\dfrac{1}{2}\right)^2:\dfrac{1}{4}\)
\(=\dfrac{1}{4}:\dfrac{1}{4}\)
\(=\dfrac{1}{4}.\dfrac{4}{1}\)
\(=1\)

Answer 2

(\(\dfrac{1}{3}\) + \(\dfrac{1}{6}\))² :(-0,5)²

= \(\dfrac{1}{4}\) : 0,25

= \(\dfrac{1}{4}\) : \(\dfrac{1}{4}\)

=1