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Bài 1:
a) 02002 < 02023
b) 20220 = 20230
c) 549 < 5510
d) ( 4 + 5 )3 > 42 + 52
đ) 92 - 32 > ( 9 - 3 )2
Bài 2:
a) 32 x 43 - 32 + 333
= 9 x 64 - 9 + 333
= 576 - 9 + 333
= 567 + 333
= 900
b) 5 x 43 + 24 x 5 + 410
= 5 x 64 + 24 x 5 + 1
= 5 x ( 64 + 24 ) + 1
= 5 x 88 + 1
= 440 + 1
= 441
c) 23 x 42 + 32 x 5 - 40 x 12023
= 8 x 16 + 9 x 5 - 40 x 1
= 128 + 45 - 40
= 133
Bài 1 :
a) \(0^{2002}=0;0^{2023}=0\Rightarrow0^{2002}=0^{2023}\)
b) \(2022^0=1;2023^0=1\Rightarrow2022^0=2023^0\)
c) \(54^9< 55^9;55^9< 55^{10}\Rightarrow54^9< 55^{10}\)
d) \(\left(4+5\right)^3>\left(4+5\right)^2;\left(4+5\right)^2>4^2+5^2\Rightarrow\left(4+5\right)^3>4^2+5^2\)
đ) \(9^2-3^2=81-9=82;\left(9-3\right)^2=6^2=36\Rightarrow9^2-3^2>\left(9-3\right)^2\)
\(2^{x-3}=128\Leftrightarrow2^{x-3}=2^7\Rightarrow x-3=7\Leftrightarrow x=10\)
\(\left(x+6\right)^4=4096\Leftrightarrow\left(x+6\right)^4=2^{12}=\left(2^3\right)^4=8^4\Rightarrow x+6=8\Leftrightarrow x=2\)
\(2^{2018}=\left(2^4\right)^{504}.2^2==16^{504}.4< 16^{900}\\ \)
\(17^{20}>16^{20}=\left(4^2\right)^{20}=4^{40}\)
\(3^{444}=\left(3^4\right)^{111}=81^{111}>64^{111}=\left(4^3\right)^{111}=4^{333}\\ \)
\(\frac{36^5.24^3}{108^2.54^2}\)= \(\frac{2^{19}.3^{13}}{2^6.3^{12}}\)=\(2^{13}.3\)=24576
a/ 26176
b/ 8
c/472392
d/ Ko tính dc
Thấy mình đẳng cấp ko
Cho mình 10 k nhé
a) \(9^{21}.9^{33}=9^{21+33}=9^{54}\)
b) \(19^{11}.19.19=19^{11+1+1}=19^{13}\)
c) \(25^2.5^2.125=5^4.5^2.5^3=5^{4+2+3}=5^9\)
d) \(t^{2021}.t^2.\left(t^2\right)^2=t^{2021}.t^2.t^4=t^{2021+2+4}=t^{2027}\)
e) \(123^{14}:123^{13}=123^{14-13}=123\)
f) \(64^2:8^3=\left(8^2\right)^2:8^3=8^4:8^3=8^{4-3}=8=2^3\)
g) \(6^{10}:6^3:36=6^{10}:6^3:6^2=6^{10-3-2}=6^5\)
h) \(m^{20}:m^{10}.m^{10}=m^{20-10+10}=m^{20}\)
dai the giai bao gio xong chac mua quyt nam sau moi giai xong
a, \(\left[2^3.\left(2+3\right)^3-3^2.111-1000^0\right]:15^0+1^3\)
\(=\left[8.5^3-9.111-1\right]:1+1\)
\(=\left[1000-999-1\right]:1+1=1\)
b, \(5871:\left\{928-\left[\left(-82\right)+247\right].5\right\}\)
\(=5871:\left[928-165.5\right]=5871:\left(928-825\right)\)
\(=5871:103=57\)
c, \(2^7:2^3+2^3.2^0+3^2.3^0.2-1^{20}\)
\(=2^4+2^3+9.2-1\)
\(=16+8+18-1=41\)
d, \(36.27+36.73-249\)
\(=36.\left(27+73\right)-249=36.100-249\)
\(=3600-249=3351\)
Chúc bạn học tốt!!!
b. 3\(^6\) : 3\(^2\) + 2\(^3\) . 2\(^2\) = 3\(^{6-2}\) + 2 \(^{3+2}\)
= 3\(^4\) + 2 \(^5\)
= 81 + 32 = 113
KL ....
c. 36 . 333 - 108 . 111 = 36 . 3 . 111 - 108 . 111
= 108 . 111 - 108 . 111
= 0
KL ........
36:32+23.22=36-2+23+2=34+25
36.333-108.111=11988-11988=0