Tính:2 mũ 3 + 3/4 - (1/2: 3/4)

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23 tháng 9 2016

a.\(\left(\frac{3}{7}+\frac{1}{2}\right)^2\)

=\(\left(\frac{6}{14}+\frac{7}{14}\right)^2\)

=\(\left(\frac{13}{14}\right)^2\)

=\(\frac{13^2}{14^2}\)

=\(\frac{169}{196}\)

b.\(\left(\frac{3}{4}-\frac{5}{6}\right)^2\)

=\(\left(\frac{9}{12}-\frac{10}{12}\right)^2\)

=\(\left(\frac{-1}{12}\right)^2\)

=\(\frac{-1^2}{12^2}\)

=\(\frac{1}{144}\).

c.Phần C bn viết lại đề bài đi,mk ko hiểu

d.\(\left(\frac{-10}{3}\right)^5.\left(\frac{-6}{5}\right)^4\)

=\(\frac{-10^5}{3^5}.\left(\frac{-6^4}{5^4}\right)\)

=\(\frac{-100000}{243}.\frac{1296}{625}\)

=\(\frac{-2560}{3}\)

                 Không biết đúng ko nữalolang

23 tháng 9 2016

c.\(\frac{5^4.20^4}{25^5.4^5}\)

=\(\frac{25^2.\left(5.4\right)^4}{25^5.4^5}\)

=\(\frac{1.\left(5\right)^4.\left(4\right)^4}{25^3.4^5}\)

=\(\frac{25^2.1}{25^3.4}\)

=\(\frac{1}{25.4}\)

=\(\frac{1}{100}\).

1 tháng 3 2022

Thay x = căn3 ; y = -1 ta được 

\(D=3.3-5\left(-1\right)+1=9+5+1=15\)

14 tháng 10 2016

Bấm máy tính:

E = \(\frac{4}{3}+\frac{1}{4}+\frac{3}{5}:\frac{4}{5}\)

E = \(\frac{4}{3}+\frac{1}{4}+\frac{3}{4}\)

E = \(\frac{7}{3}\)

Vậy E = \(\frac{7}{3}\)

14 tháng 10 2016

Làm rõ ra đi bạn

\(a)\)

\(f\left(x\right)=-x^3+3x^2+x-3+2^3-x^2\)

\(\Leftrightarrow f\left(x\right)=-x^3+\left(3x^2-x^2\right)+x-3+2^3\)

\(\Leftrightarrow f\left(x\right)=-x^3+2x^2+x-3+8\)

\(\Leftrightarrow f\left(x\right)=-x^3+2x^2+x+5\)

\(g\left(x\right)=-3x^3-x^2+2x^3+5x-3-4x\)

\(\Leftrightarrow g\left(x\right)=\left(-3x^3+2x^3\right)-x^2+\left(5x-4x\right)-3\)

\(\Leftrightarrow g\left(x\right)=-x^3-x^2+x-3\)

\(b)\)

Theo đề ra: \(h\left(x\right)=f\left(x\right)+g\left(x\right)\)

\(f\left(x\right)=-x^3+2x^2+x+5\)

\(g\left(x\right)=-x^3-x^2+x-3\)

\(\Rightarrow h\left(x\right)=x^2+2x+2\)

18 tháng 1 2020

\(A=1+\frac{3}{2^3}+\frac{4}{2^4}+\frac{5}{2^5}+...+\frac{100}{2^{100}}\)

\(2A=2+\frac{3}{2^2}+\frac{4}{2^3}+\frac{5}{2^4}+...+\frac{100}{2^{99}}\)

=> \(2A-A=1+\frac{3}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+....+\frac{1}{2^{99}}-\frac{100}{2^{100}}\)

=> \(A=1+\frac{3}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+....+\frac{1}{2^{99}}-\frac{100}{2^{100}}\)

=> \(2A=2+\frac{3}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{88}}-\frac{100}{2^{99}}\)

=> \(2A-A=1+\frac{3}{2}+\frac{1}{2^2}-\frac{3}{2^2}-\frac{1}{2^{99}}-\frac{100}{2^{99}}+\frac{100}{2^{100}}\)

=> \(A=2-\frac{102}{2^{100}}\)

25 tháng 8 2020

\(4.\left(\frac{1}{4}\right)^2+25\left[\left(\frac{3}{4}\right)^3:\left(\frac{5}{4}\right)^3\right]:\left(\frac{3}{2}\right)^3=4.\frac{1}{16}+25\left(\frac{27}{64}.\frac{64}{125}\right).\frac{8}{27}\)

\(=\frac{1}{4}+25.\frac{27}{125}.\frac{8}{27}=\frac{1}{4}+\frac{8}{5}=\frac{37}{20}\)

\(2^3+3\left(\frac{1}{2}\right)^0-1+\left[\left(-2\right)^2:\frac{1}{2}\right]-8=8+3-1+4.2-8=10\)

15 tháng 10 2016

\(E=\frac{0,8:\left(\frac{4}{5}.1,25\right)}{0,64-\frac{1}{25}}+\frac{\left(1,08-\frac{2}{25}\right):\frac{4}{7}}{\left(6\frac{5}{9}-3\frac{1}{4}\right).2\frac{2}{17}}+\left(1,2.0,5\right):\frac{4}{5}\)

\(E=\frac{\frac{4}{5}:\frac{4}{5}:1,25}{\frac{16}{25}-\frac{1}{25}}+\frac{\left(\frac{27}{25}-\frac{2}{25}\right).\frac{7}{4}}{\left(\frac{59}{9}-\frac{13}{4}\right).\frac{36}{17}}+\frac{6}{5}.\frac{1}{2}.\frac{5}{4}\)

\(E=\frac{1:\frac{5}{4}}{\frac{3}{5}}+\frac{1.\frac{7}{4}}{\frac{119}{36}.\frac{36}{17}}+\frac{3}{4}\)

\(E=\frac{4}{5}.\frac{5}{3}+\frac{\frac{7}{4}}{7}+\frac{3}{4}\)

\(E=\frac{4}{3}+\frac{7}{4}.\frac{1}{7}+\frac{3}{4}\)

\(E=\frac{4}{3}+\frac{1}{4}+\frac{3}{4}\)

\(E=\frac{4}{3}+1=\frac{7}{3}\)

8 tháng 9 2017

a) 4. ( 1.1/4)2 + [(3/4)2 : (5/4)3] : (3/2)3

= 4.1/16 + [9/16 : 125/64] : 27/8

\(\frac{1}{4}+\frac{9}{16}:\frac{125}{64}:\frac{27}{8}=\frac{1}{4}+\frac{36}{125}:\frac{27}{8}\)

\(\frac{1}{4}+\frac{36}{125}.\frac{8}{27}\)

=\(\frac{1}{4}+\frac{32}{375}=\frac{375}{1500}+\frac{128}{1500}=\frac{503}{1500}\)

8 tháng 9 2017

b] = 2^3 + 3 x 1 - 1 + ( 2^2 x 2 ) x 2^3

= 2^3 + 3 - 1 + 2^3 x 2^3

= 2^3 + 2 + 2^6 = 74

a] = 4 x ( 1/4 ) + ( 32/42 : 53/43 ) : 27/8

= 4 x 1/16 + ( 32 x 4/53 ) x 8/27

= 1/4 + 36/5x 8/27 = 1/4 + 4/125 x 8/3 = 503/1500 sấp sỉ 0,335333