Question

1 ;(3/7+1/2)^2

2; (3/4-5/6)^2 

3; (1+2/3-1/4).(4/5-3/4)^2

4 ,2:(1/2-2/3)^3

 

Answer 1

1) \(\left(\frac{3}{7}+\frac{1}{2}\right)^2=\left(\frac{13}{14}\right)^2=\frac{169}{196}\)

2) \(\left(\frac{3}{4}-\frac{5}{6}\right)^2=\left(-\frac{1}{12}\right)=\frac{1}{144}\)

3) \(\left(1+\frac{2}{3}-\frac{1}{4}\right)\cdot\left(\frac{4}{5}-\frac{3}{4}\right)^2\)

\(=\frac{17}{12}\cdot\left(\frac{1}{20}\right)^2=\frac{17}{4800}\)

4) \(2\div\left(\frac{1}{2}-\frac{2}{3}\right)^3=2\div\left(-\frac{1}{6}\right)^3\)

\(=2\div\left(-\frac{1}{216}\right)=-432\)