1> tính nhanh
a) 2013 . 2014 - 2/ 2012 + 2012 . 2014
b) 1984 . 1985 + 1986 . 20 + 1965/ 1985 . 2000 - 1984 . 1985
c) 23 mũ 10 - 23 mũ 11/ 23 mũ 11 + 21 . 23 mũ 10
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đề thế này hả bạn:169.2011^0-17(83-1702+1^2012)+2^7:2^4
Dấu ''^'' là dấu lũy thừa nha!
???
169.2011^0-17(83-1702:23+1^2012)+2^7:2^4
=169.1-17(83-74+1)+2^7-4
=169+17.10+2^3=169-170+8=7
giải thích xíu:
2011^0 luôn bằng 1(n^0=1)
1^2012 luôn bằng 1(1^n=1)
Chúc bạn học tốt
:))
\(54:3^1+6.5^2\)
\(=54:3+6.25\)
\(=18+150\)
\(=168\)
\(---------\)
\(11-13+15-17+19-21+23-25\)
\(=\left(11-13\right)+\left(15-17\right)+\left(19-21\right)+\left(23-25\right)\)
\(=\left(-2\right)+\left(-2\right)+\left(-2\right)+\left(-2\right)\)
\(=\left(-2\right).4\)
\(=-8\)
\(\dfrac{3^2}{20.23}+\dfrac{3^2}{23.26}+\dfrac{3^2}{26.29}+...+\dfrac{3^2}{77.80}\)
\(=3\left(\dfrac{3}{20.23}+\dfrac{3}{23.26}+\dfrac{3}{26.29}+...+\dfrac{3}{77.80}\right)\)
\(=3\left(\dfrac{1}{20}-\dfrac{1}{23}+\dfrac{1}{23}-\dfrac{1}{26}+\dfrac{1}{26}-\dfrac{1}{29}+...+\dfrac{1}{77}-\dfrac{1}{80}\right)\)
\(=3\left(\dfrac{1}{20}-\dfrac{1}{80}\right)\)
\(=3\left(\dfrac{4}{80}-\dfrac{1}{80}\right)=3.\dfrac{3}{80}=\dfrac{9}{80}\)
1984 x 1985 + 1986 x 20 + 1985
= 1984 x 1985 + ( 1985 + 1 ) x 20 + 1985
= 1984 x 1985 + 1985 x 20 + 20 + 1985
= 1985 x ( 1984 + 1 + 20 ) + 20
= 1985 x 2005 + 20
= 3979925 + 20
= 3979945
1985 x 2000 - 1984 x 1985
= 1985 x ( 2000 - 1984 )
= 1985 x 16
= 31760
Hok tốt !
a,\(2^4\cdot3^5:6^4\)
\(=\frac{2^4\cdot3^6}{\left(2\cdot3\right)^4}\)
\(=\frac{2^4\cdot3^6}{2^4\cdot3^4}\)
\(=3^2\)
Bài 2
\(a,5^3\cdot8=5^3\cdot2^3=10^3=1000\)
\(b,2^5-2019^0=32-1=31\)
\(c,3^3+2^5-1^{10}=27+32-1=58\).
\(d,9^2\cdot33-81\cdot23+5^2=81\cdot33-81\cdot23+25\)
\(=81\cdot\left(33-23\right)+25\)
\(=810+25=835\)
\(g,\left[2^2+6^2\right]:5+11^2\)
\(=\left[4+36\right]:5+121\)
\(=40:5+121=8+121\)
\(=129\)
\(d,\frac{14\cdot3^{10}-5\cdot3^{10}}{3^{12}}\)
\(=\frac{3^{10}\cdot\left(14-5\right)}{3^{12}}\)
\(=\frac{3^{10}\cdot9}{3^{12}}\)
\(=\frac{3^{10}\cdot3^2}{3^{12}}=\frac{3^{12}}{3^{12}}\)
\(=1\)
\(\left(19^{21}+19^{22}+19^{23}\right):\left(19^{20}+19^{21}+19^{22}\right)\)
\(=19^{21}.\left(1+19+19^2\right):19^{20}:\left(1+19+19^2\right)=19\)
a, 1
b, \(\frac{2005}{16}\)
c, \(\frac{-1}{2}\)