Thực hiện phép tính
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f) \(2\cdot5^2+3:71^0-54:3^3\)
\(=2\cdot25+3:1-54:27\)
\(=50+3-2\)
\(=51\)
h) \(5\cdot3^2-32:4^2\)
\(=5\cdot9-32:16\)
\(=45-2\)
\(=43\)
k) \(5^6:5^4+2^3\cdot2^2-1^{2017}\)
\(=5^2+2^5-1\)
\(=25+32-1\)
\(=56\)
n) \(23\cdot75+5^2\cdot10+5^2\cdot13+180\)
\(=23\cdot25\cdot3+25\cdot10+25\cdot13+180\)
\(=25\cdot\left(23\cdot3+10+13\right)+180\)
\(=25\cdot92+180\)
\(=2300+180\)
\(=2480\)
f: =2*25+3-54:27
=50+3-2
=51
h: =5*9-32:16
=45-2=43
k: =5^2+2^5-1
=25+32-1
=25+31=56
n: =23*75+25*23+180
=2300+180
=2480
e: \(=\left|3-\sqrt{2}\right|=3-\sqrt{2}\)
h: \(=3-\sqrt{2}+3+\sqrt{2}=6\)
g: \(=\left|0.1-\sqrt{0.1}\right|=0.1-\sqrt{0.1}\)
i: \(=\left|2\sqrt{2}-3\right|=3-2\sqrt{2}\)
c: \(=\left|2+5\right|=7\)
o: \(=5-2\sqrt{6}-5-2\sqrt{6}=-4\sqrt{6}\)
n: \(=4-2\sqrt{3}+4+2\sqrt{3}=8\)
m: \(=7+2\sqrt{10}-7-2\sqrt{10}=0\)
\(\dfrac{A}{B}=\dfrac{6x^3+3x^2-10x^2-5x+4x+2+m-2}{2x+1}\)
\(=3x^2-5x+2+\dfrac{m-2}{2x+1}\)
\(a,=\left(-4\right)\\ b,=\left(-70\right)\\ c,2002+\left[45-5^2\right]=2002+\left[45-25\right]\\ =2002+20=2022\)
Gọi tổng của phép tính trên là A
\(A=15+2^4+2^5+2^6+...+2^{2022}\)
\(\Rightarrow2A=2+2^2+...+2^{2023}\)
\(\Rightarrow A=2^{2023}-1\)
a: \(=\dfrac{4}{5}+\dfrac{6}{5}\cdot\dfrac{15}{7}-\dfrac{3}{7}=\dfrac{4}{5}+\dfrac{90}{35}-\dfrac{3}{7}\)
\(=\dfrac{28}{35}+\dfrac{90}{35}-\dfrac{15}{35}=\dfrac{103}{35}\)
b: \(=\dfrac{9}{13}\left(\dfrac{5}{13}-\dfrac{6}{13}-\dfrac{20}{13}\right)=\dfrac{9}{13}\cdot\dfrac{-21}{13}=\dfrac{-189}{169}\)
`(6-2 4/5)*3 1/8-1 3/5:1/4`
`=(6-14/5)*25/8-8/5*4`
`=16/5*25/8-32/5`
`=10-32/5=18/5`
\(B=\frac{1-\frac{1}{3}+\frac{1}{1+\frac{1}{3}}}{1-\frac{1}{3}-\frac{1}{1+\frac{1}{3}}}\)
\(B=\frac{\frac{2}{3}+\frac{1}{\frac{2}{3}}}{\frac{2}{3}-\frac{1}{\frac{2}{3}}}\)
\(B=\frac{\frac{2}{3}+\frac{3}{2}}{\frac{2}{3}-\frac{3}{2}}\)
\(B=\frac{\frac{13}{6}}{\frac{-5}{6}}\)
\(B=\frac{13}{6}:\frac{-5}{6}\)
\(B=\frac{-13}{5}\)