Question

a(-2) mũ 4 - 7/2 : 4/5 
a,1 - ( 1/2 - 3/2 )^2
b 3/8 + x = -1/20 
b x - 15/24 = 2/-15 
c(x+1)-12/5=4/3
c 2.x -  70/50 = 1/10 

Answer 1

\(a).\left(-2\right)^4-\dfrac{7}{2}:\dfrac{4}{5}=\left(-16\right)-\dfrac{7}{2}.\dfrac{5}{4}=\left(-16\right)-\dfrac{35}{8}=\dfrac{-168}{8}\)

\(b).1-\left(\dfrac{1}{2}-\dfrac{3}{2}\right)^2=1-\left(-1\right)^2=1+1^2=1+1=2\)

\(c).\dfrac{3}{8}+x=-\dfrac{1}{20}\)

\(x=-\dfrac{1}{20}-\dfrac{3}{8}\)

\(x=\dfrac{-17}{40}\)

\(d).x-\dfrac{15}{24}=\dfrac{2}{-15}\)

\(x=\dfrac{2}{-15}+\dfrac{15}{24}\)

\(x=\dfrac{59}{120}\)

\(e).\left(x+1\right)-\dfrac{12}{5}=\dfrac{4}{3}\)

\(x+1=\dfrac{4}{3}+\dfrac{12}{5}\)

\(x+1=\dfrac{56}{15}\)

\(x=\dfrac{56}{15}-1\)

\(x=\dfrac{41}{15}\)

\(g).2x-\dfrac{70}{50}=\dfrac{1}{10}\)

\(2x-\dfrac{7}{5}=\dfrac{1}{10}\)

\(2x=\dfrac{1}{10}+\dfrac{7}{5}\)

\(2x=\dfrac{3}{2}\)

\(x=\dfrac{3}{2}:2\)

\(x=\dfrac{3}{4}\)

Answer 2

\(\left(-2\right)^4-\dfrac{7}{2}:\dfrac{4}{5}.\\ =16-\dfrac{35}{8}.\\ =\dfrac{93}{8}.\\1-\left(\dfrac{1}{2}-\dfrac{3}{2}\right)^2.\\ =1-\left(-1\right)^2=0.\\ \dfrac{3}{8}+x=-\dfrac{1}{20}.\\ \Leftrightarrow x=-\dfrac{1}{20}-\dfrac{3}{8}.\\ \Leftrightarrow x=-\dfrac{17}{40}.\)

\(x-\dfrac{15}{24}=\dfrac{2}{-15}.\\ \Leftrightarrow x=-\dfrac{2}{15}+\dfrac{15}{24}.\\ \Leftrightarrow x=\dfrac{59}{120}.\\ \left(x+1\right)-\dfrac{12}{5}=\dfrac{4}{3}.\\ \Leftrightarrow x+1=\dfrac{56}{15}.\\ \Leftrightarrow x=\dfrac{41}{15}.\)

\(2x-\dfrac{70}{50}=\dfrac{1}{10}.\\ \Leftrightarrow2x-\dfrac{7}{5}=\dfrac{1}{10}.\\ \Leftrightarrow2x=\dfrac{3}{2}.\\ \Leftrightarrow x=\dfrac{3}{4}.\)