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\(a,5:5^2+2^3.3^2\)
\(=5^4+72\)
\(=697\)
\(b,8^3.25-8^3.23\)
\(=8^3.\left(25-23\right)\)
\(=8^3.2\)
\(=1024\)
\(c,80-\left(4.5^2-3^2.2^3\right)\)
\(=80-\left(100-72\right)\)
\(=80-28\)
\(=52\)
\(d,\left(12^4-6^4+2.3^4\right):3^4\)
\(=\left(20736-1296+162\right):3^4\)
\(=19602:3^4\)
\(=242\)
\(a,5:5^2+2^3.3^2\)
\(=5+72\)
\(=77\)
\(b,8^3.25-8^3.23\)
\(=8^3.\left(25-23\right)\)
\(=8^3.2\)
\(=1024\)
\(c,80-\left(4.5^2-3^2.2^3\right)\)
\(=80-\left(100-72\right)\)
\(=80-28\)
\(=52\)
\(d,\left(12^4-6^4+2.3^4\right):3^4\)
\(=\left(20736-1296+162\right):3^4\)
\(=19602:3^4\)
\(=242\)
Bài 1 :
a) \(\left(2^{17}+17^2\right).\left(9^{15}-3^{15}\right).\left(2^4-4^2\right)\)
\(=\left(2^{17}+17^2\right).\left(9^{15}-3^{15}\right).\left(16-16\right)\)
\(=\left(2^{17}+17^2\right).\left(9^{15}-3^{15}\right).0\)
\(=0\)
câu b sai đề rồi bạn , mình sủa lại đề nha :
b) \(\left(8^{2017}-8^{2015}\right)\div\left(8^{2014}.8\right)\)
\(=\left(8^{2017}-8^{2015}\right)\div8^{2015}\)
\(=8^{2017}\div8^{2015}-8^{2015}\div8^{2015}\)
\(=8^2-1\)
\(=64-1\)
\(=63\)
c) \(\left(1^3+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left(3^8-81^2\right)\)
\(=\left(1^3+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left[3^8.\left(3^4\right)^2\right]\)
\(=\left(1^3+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left[3^8-3^8\right]\)
\(=\left(1^3+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).0\)
\(=0\)
d) \(\left(2^8+8^3\right)\div\left(2^5.2^3\right)\)
\(=\left[2^8+\left(2^3\right)^3\right]\div2^8\)
\(=\left[2^8+2^9\right]\div2^8\)
\(=2^8\div2^8+2^9\div2^8\)
\(=1+2\)
\(=3\)
Bài 2 :
a) \(125^5\div25^3=\left(5^3\right)^5\div\left(5^2\right)^3=5^{15}\div5^6=5^9\)
b) \(27^6\div9^3=\left(3^3\right)^6\div\left(3^2\right)^3=3^{18}\div3^6=3^{12}\)
c) \(4^{20}\div2^{15}=\left(2^2\right)^{20}\div2^{15}=2^{40}\div2^{15}=2^{25}\)
d) \(24^n\div2^{2n}=24^n\div4^n=6^n\)
\(\left(125^{100}.2^{160}\right):\left(5^{289}.4^{80}\right)\)\(=\frac{\left(5^3\right)^{100}.2^{100}}{5^{289}.\left(2^2\right)^{80}}\)\(=\frac{5^{300}.2^{100}}{5^{289}.2^{160}}\)\(=\frac{5^{11}}{2^{60}}\)
\(\left(9^8.5^8\right):\left(3^7.27^3.5^4\right)\)\(=\frac{\left(3^2\right)^8.5^8}{3^7.\left(3^3\right)^3.5^4}=\frac{3^{16}.5^4}{3^7.3^9}=\frac{3^{16}.5^4}{3^{16}}=5^4=625\)
\(\left(1024.27^8\right):\left(2^9.3^{23}\right)=\frac{2^{10}.\left(3^3\right)^8}{2^9.3^{23}}=\frac{2.3^{24}}{3^{23}}=2.3=6\)
\(\left(625.2^7+25^2.64\right):\left(2^6.5^4.3\right)=\frac{25^2.128+25^2.64}{2^6.\left(5^2\right)^2.3}=\frac{25^2.\left(128+64\right)}{64.25^2.3}=\frac{192}{192}=1\)
A, B, C,... là tên của bài bạn nha
VD: A, 15+x=15
B, 16+14+14+14
a) 23= 8
, 24=16
, 25=32
, 26 =64,
27 =128
28 =256
29 =512
210 =1024
b) 32 =9
33 =27
34 =81
35 =243
c) 42 =16
43 =64
44 =256
d) 52 =25
53 =125
54 =625
e) 62 = 36
63 =216
64 =1296
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