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a) 1 - 2 + 3 - 4 + 5 - 6 + .....+ 25 - 26
= (1 - 2) + (3 - 4) + (5 - 6) + .....+ (25 - 26)
= -1 + (-1) + ( -1 ) +...+ ( -1 ) {có 13 số )
= -13
b) tương tự nhé bn
A=(1-2)+(3-4)+...+(999-1000)
có 1000 số hạng
A=(-1)+(*1)+...+(-1)
có 500 số hạng
A=-1*500
A=-500
a) $3^8:3^6=3^{8-6}=3^2$
$19^7:19^3=19^{7-3}=19^4$
$2^{10}:8^3=2^{10}:(2^3)^3=2^{10}:2^9=2^{10-9}=2^1$
$12^7:6^7=(12:6)^7=2^7$
$27^5:81^3=(3^3)^5:(3^4)^3=3^{15}:3^{12}=3^{15-12}=3^3$
b) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
a)
Ta có: A = 1 – 2 – 3 + 4 + 5 – 6 – 7 + 8 + … + 2015 – 2016 – 2017 + 2018
A = (1 – 2 – 3 + 4) +( 5 – 6 – 7 + 8) + … + (2015 – 2016 – 2017 + 2018)
A = 0 + 0 + … + 0 = 0.
b)
16.50.(-25).(-250)
= (2.50).[(-25).(-4)]
= [(-125).(-8)].(2.5)
= 4.4.50.(-25).(-250)
= [4.(-25)].[4.(-250)].50
= [(-100).(-1000)].50
= 100000 .50
= 5000000
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(-1)3.[(-10)3-(-42)] = 984
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5000000 + 984 = 5000984