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Trả lời
(2+3)4.42= 54.42= 625.16=10000
52.22.4= 25.4.4=400
Học tốt. k mik nha
a) \(\left(-8\right).\left(-3\right)^3.\left(+125\right)\\ =\left(-2\right)^3.\left(-3\right)^3.\left(+5\right)^3\\ =\left[\left(-2\right).\left(-3\right).\left(+5\right)\right]^3\\ =30^3\)
b) \(27.\left(-2\right)^3.\left(-7\right).\left(+49\right)\\ =3^3.\left(-2\right)^3.\left(-7\right).\left(-7\right)^2\\ =\left[3.\left(-2\right)\right]^3.\left[\left(-7\right).\left(-7\right)^2\right]\\ =\left(-6\right)^3.\left(-7\right)^3\\ =\left[\left(-6\right).\left(-7\right)\right]^3\\ =42^3\)
Lời giải:
\(2^{27}.3^{18}=(2^3)^9.(3^2)^9=8^9.9^9=(8.9)^9=72^9\)
\(25^4.2^8=25^4.(2^2)^4=25^4.4^4=(25.4)^4=100^4\)
\((-9)^4.27^2=9^4.27^2=(3^2)^4.(3^3)^2=3^8.3^6=3^{8+6}=3^{14}\)
\(-5^4:25=-5^4:(5^2)=-5^{4-2}=-5^2\)
1,
\(A=2^0+2^1+2^2+..+2^{2006}\)
\(=1+2+2^2+...+2^{2016}\)
\(2A=2+2^2+2^3+..+2^{2007}\)
\(2A-A=\left(2+2^2+2^3+..+2^{2007}\right)-\left(1+2+2^2+..+2^{2006}\right)\)
\(A=2^{2017}-1\)
\(B=1+3+3^2+..+3^{100}\)
\(3B=3+3^2+3^3+..+3^{101}\)
\(3B-B=\left(3+3^2+..+3^{101}\right)-\left(1+3+..+3^{100}\right)\)
\(2B=3^{101}-1\)
\(\Rightarrow B=\frac{3^{100}-1}{2}\)
\(D=1+5+5^2+...+5^{2000}\)
\(5D=5+5^2+5^3+...+5^{2001}\)
\(5D-D=\left(5+5^2+..+5^{2001}\right)-\left(1+5+...+5^{2000}\right)\)
\(4D=5^{2001}-1\)
\(D=\frac{5^{2001}-1}{4}\)
213 = 2.102 + 1.101 + 3.100
421 = 4.102 + 2.101 + 1.100
2009 = 2.103 + 0.102 + 0.101 + 9.100
abc = a.102 + b.101 + c.100
abcde = a.104 + b.103 + c.102 + d.101 + e.100
\(213=2×10^2+1×10^1+3×10^0\)
\(421=4×10^2+2×10^1+1×10^0\)
\(2009=2×10^3+0×10^2+0×10^1+9×10^0\)
\(25^6.125^3\)
\(=\left(5^2\right)^6.\left(5^3\right)^3\)
\(=5^{12}.5^9\)
\(=5^{12+9}\)
\(=5^{21}\)
Ủng hộ nha
\(a=\left(2^3\right)^2\times\left(2^5\right)^4=2^6\times2^{20}=2^{26}\)
\(b=\left(3^3\right)^3\times\left(3^2\right)^4\times3^5=3^9\times3^6\times3^5=3^{20}\)
8.4^ 2 . 32^4 = 32^ 2. 32^4 = 32.32.32.32.32.332
tương tự nhé bạn
895 = 8.102 + 9.101 + 5.100
abc = a.102 + b.101 + c.100
Khi nào rảnh vào kênh H-EDITOR xem vid nha bạn!!! Thanks!
Trả lời :
a, \(3^6\text{ x }3^2+2\text{ x }81^2=3^8+2\text{ x }\left(3^4\right)^2=3^8+2\text{ x }3^8=\left(2+1\right)\text{ x }3^8=3\text{ x }3^8=3^9\)
b, \(\left(6^3\text{ x }8^4\right)\text{ : }12^3\)
\(=6^3\text{ x }8^4\text{ : }12^3\)
\(=\left(2\cdot3\right)^3\text{ x }\left(2^3\right)^4\text{ : }\left(2^2\cdot3\right)^3\)
\(=2^3\cdot3^3\text{ x }2^{12}\text{ : }\left(2^6\cdot3^3\right)\)
\(=2^3\cdot3^3\text{ x }2^{12}\text{ : }2^6\text{ : }3^3\)
\(=2^9\)
Câu c không hiểu đề !
Ta có: (-8).(-3)3.(+125)
= (-2)3 . (-3)3 . 53
= [(-2).(-3)]3.53 = 63 . 53
= (6.5)3 = 303