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a) A = 3² . 1/243 . 81² . 1/3²
= 3² . 1/3⁵ . (3⁴)² . 1/3²
= 3² . 1/3⁷ . 3⁸
= 3¹⁰ . 1/3⁷
= 3³
= 27
b) B = (4.2⁵) : (2³ . 1/6)
= (4.32) : (8 . 1/6)
= 128 : 4/3
= 96
c) C = (-1/3)³.(-1/3)².(-1/3)
= (-1/3)³⁺²⁺¹
= (-1/3)⁶
= 1/729
d) D = (-1/3)⁻¹ - (-6/7)⁰ + (1/2)² : 2
= -3 - 1 + 1/4 : 2
= -4 + 1/8
= -31/8
Ta có:
(3-1/4 + 2/3) - (5 + 1/3 - 6/5) - (6 - 7/4+3/2)
= 3 - 1/4 + 2/3 - 5 - 1/3 + 6/5 - 6 + 7/4 - 3/2
= (3 - 5 - 6 ) - (1/4 - 7/4 + 3/2) + ( 2/3 - 1/3) + 6/5
= - 8 - 0 + 1/3 +6/5
= -8 + 1/3 + 6/5
= -23/3 + 6/5
= -97/15
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#)Giải :
\(\left(\frac{1}{3}\right)^{-1}-\left(-\frac{6}{7}\right)^0+\left(-\frac{1}{2}\right)^2\div2\)
\(=3-1+\left(-\frac{1}{4}\right)\div2\)
\(=2+\left(-\frac{1}{4}\right)\div2\)
\(=\frac{7}{4}\div2\)
\(=\frac{7}{8}\)
\(\left(\frac{1}{3}\right)^{-1}-\left(-\frac{6}{7}\right)^0+\left(-\frac{1}{2}\right)^2:2\)
\(=3-1+\frac{1}{4}:2\)
\(=3-1+\frac{1}{8}\)
\(=2+\frac{1}{8}\)
\(=\frac{17}{8}\)
Bài làm
6) \(\left(x+\frac{1}{2}\right)^2=\frac{5}{5}\)
\(\Rightarrow\left(x+\frac{1}{2}\right)^2=1^2\)
\(\Rightarrow x+\frac{1}{2}=1\)
\(\Rightarrow x=1-\frac{1}{2}=\frac{1}{2}\)
Vậy x = 1/2
7) \(\left|\left(-2\frac{2}{3}\right)^2-x\right|-\frac{1}{3}=0\)
\(\Rightarrow\left|\left(-\frac{8}{3}\right)^2-x\right|=\frac{1}{3}\)
\(\Rightarrow\left|\frac{64}{9}-x\right|=\frac{1}{3}\)
\(\Rightarrow\left[{}\begin{matrix}\frac{64}{9}-x=\frac{1}{3}\\\frac{64}{9}-x=-\frac{1}{3}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\frac{61}{9}\\x=\frac{67}{9}\end{matrix}\right.\)
Vậy ....
(-\(\dfrac{1}{3}\))-1 - (- \(\dfrac{6}{7}\))0 + ( \(\dfrac{1}{2}\))2 : 3
= ( (-3)-1)-1 - 1 + \(\dfrac{1}{4}\) : 3
= (-3)1 - 1 + \(\dfrac{1}{12}\)
= -4 + \(\dfrac{1}{12}\)
= \(\dfrac{-47}{12}\)
= -47/12