Question

( - 1/2)² - 1/2 [ 3/4 - 1/4 ( 5³ : 5² ) ] + 3/4

Answer 1

\(\left(-\dfrac{1}{2}\right)^2-\dfrac{1}{2}\left[\dfrac{3}{4}-\dfrac{1}{4}\cdot\left(5^3:5^2\right)\right]+\dfrac{3}{4}\)

\(=\dfrac{1}{4}+\dfrac{3}{4}-\dfrac{1}{2}\left[\dfrac{3}{4}-\dfrac{1}{4}\cdot5\right]\)

\(=1-\dfrac{1}{2}\cdot\left(\dfrac{3}{4}-\dfrac{5}{4}\right)\)

\(=1+\dfrac{1}{4}=\dfrac{5}{4}\)