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Bài 1 :
a/ \(a^3.a^9=a^{3+9}=a^{12}\)
b/\(\left(a^5\right)^7=a^{5.7}=a^{35}\)
c/ \(\left(a^6\right).4.a^{12}=a^{24}.a^{12}.4=a^{24+12}.4=a^{36}.4\)
d/ \(\left(2^3\right)^5.\left(2^3\right)^3=2^{15}.2^9=2^{15+9}=2^{24}\)
e/ \(5^6:5^3+3^3.3^2\)
\(=5^3+3^5=125+243=368\)
i/ \(4.5^2-2.3^2\)
\(=2^2.5^2-2.3^2\)
\(=2^2.25-2^2.14\)
\(=2^2.\left(25-14\right)\)
\(=2^2.11\)
\(=4.11=44\)
2
a) 5 X - 5 mu 3=5
5 X - 125=5
5 X=5+125
5 X=130
X=130:5
X=26
mk chi biet moi bai do thoi sorry ban
- Bài 1:
a)1117-1116:{1240-(2^4-5)^2+[39-9(3^2-7)]:7}
=1117-1116:{1240-121+[39-9.2]:7}
=1117-1116:{1240-121+21:7}
=1117-1116:1122
=\(\frac{208693}{187}\)
b)7+10+13+16+...+2014+2017
Số số hạng của tổng là: (2017-7):3+1=671
Tổng: (2017+7).671=1358104
- Bài 2:
a)5x- 5^3=5 b)3(x-7)-128=157 c)611-11(5x+37)=39 d)3x.3x+1.3x+2=31.32.33.34.35
5x=5+5^3 3(x-7)=157+128 11(5x+37)=611-39 33x+3=315
5x=130 3(x-7)=285 11(5x+37)=572 => 3x+3=15
x=130:5 x-7=285:3 5x+37=572:11 3x=15-3
x=26 x-7=95 5x+37=52 3x=12
x=95+7 5x=52-37=15 x=12:3
x=102 x=15:3=5 x=4
Thấy đúng thì k cho mình nha ^^
a, =\(3^4+2^5=81+32=113\)
b, =\(3.\left(4^2-2.3\right)=3.\left(16-6\right)=3.10=30\)
c, =\(\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\dfrac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)
d, =\(\dfrac{3^2.7^2.2.7.5^3}{5^3.7^3.2.3}=3\)
e, =\(\dfrac{3^6.5^3.2^8.5^4.2^2.3^4}{2^{10}.3^{10}.5^5}=\dfrac{3^{10}.2^{10}.5^7}{2^{10}.3^{10}.5^5}=5^2=25\)
g, =\(\dfrac{2^5.\left(2^8+1\right)}{2^2.\left(2^8+1\right)}=\dfrac{2^5}{2^2}=2^3=8\)
\(A,\frac{4^9.36+64}{16^4.100}=\frac{\left(2^2\right)^9.2^2.3^2+2^6}{\left(2^4\right)^4.2^2.5^2}=\frac{2^{20}.3^2+2^6}{2^{18}.5^2}=\frac{2^6\left(2^{14}.3^2+1\right)}{2^{18}.5^2}=\frac{2^{14}.3^2+1}{2^{12}.5^2}=\frac{147457}{102400}\)
B,
\(\frac{11.3^{22}.3-9^{13}}{\left(2.3^{14}\right)^2}=\frac{11.3^{22}-\left(3^2\right)^{13}}{2^2.3^{28}}=\frac{11.3^{22}-3^{26}}{2^2.3^{28}}=\frac{3^{22}\left(11.1-3^4\right)}{2^2.3^{28}}=\frac{11-81}{2^2.3^6}=-\frac{70}{2916}=-\frac{35}{1456}\)
c,
\(\frac{45^3.20^4.18}{180^5}=\frac{\left(3^2.5\right)^3.\left(5.2^2\right)^4.2.3^2}{\left(2^2.3^2.5\right)^5}=\frac{3^6.5^3.5^4.2^8.2.3^2}{2^{10}.3^{10}.5^5}=\frac{3^8.2^{10}.5^7}{2^{10}.3^{10}.5^5}=\frac{5^2}{3^2}=\frac{25}{9}\)
\(\frac{4^9\cdot36+64}{16^4\cdot100}=\frac{2^6\cdot147457}{2^{16}\cdot100}=\frac{147457}{2^{10}\cdot100}\)
\(\frac{11\cdot3^{22}\cdot3-9^{13}}{2^2\cdot3^{28}}=\frac{3^{23}\left(11-3^3\right)}{2^2\cdot3^{28}}=\frac{-16\cdot3^{23}}{2^2\cdot3^{28}}=\frac{-4}{243}\)
\(\frac{45^3\cdot20^4\cdot18}{180^5}=\frac{3^8\cdot2^9\cdot5^7}{2^{10}\cdot3^{10}\cdot5^5}=\frac{25}{18}\)
còn phần d hình như sai đề
nếu sửa 16->169 thì tính được đó
a)= 23.(19-14)+1
=8.6+1
=49
b)=102-[60:(56-4-3.5)]
=100-[60:(25-15)]
=100-[60:10]
=100-6=94
c)=160:{17+[32.5-(14+211-8)]}
=160:{17+[45-14-8]}
=160:{17+23}
=160:40
=4
Bài 1:
a) 510 : 57 - 25 . 30 = 53- 25= 125 - 32= 93
b) \(\frac{2^{14}\cdot14\cdot125}{35^3\cdot6}=\frac{2^{14}\cdot2\cdot7\cdot5^3}{\left(7\cdot5\right)^3\cdot2\cdot3}=\frac{2^{15}\cdot7\cdot5^3}{7^3\cdot5^3\cdot2\cdot3}=\frac{2^{14}}{7^2\cdot3}=\frac{16384}{49\cdot3}=\frac{16384}{174}\)
c) \(\frac{2^{13}+2^5}{2^{10}+2^2}=\frac{2^{11}\cdot2^2+2^3\cdot2^2}{2^2\cdot2^8+2^2}=\frac{2^2\left(2^{11}+2^3\right)}{2^2\left(2^8+1\right)}=\frac{2^{11}+2^3}{2^8+1}=\frac{2^3\cdot2^8+2^3}{2^8+1}=\frac{2^3\left(2^8+1\right)}{2^8+1}=2^3=8\)
Bài 2:
a) 59 . 252 = 59 . (52)2= 59 . 54= 513
b) 1410 : 495 = [(2.7)10] : [(7.7)5] = (210 . 710 ) : (75 . 75) = 210 . 710 : 710= 210
c) 414 . 528 = (22)14 . 528 = 228 . 528 = (2.5)28 = 1028
d) 10010 : (-10)3 . (-100)4 = (102)3 : 103.(-1) . (102)4= 106 : 103 . 108 .(-1) = -1011
Câu b bài 1 hơi lạ nà. Chắc chắn tớ ko tính sai đâu (thử lại nhiều lần rồi). Xem lại đề nha, Lạnh lùng + vô cảm= đời thanh thản.