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\(\left(-1\right)^3.\left(-\frac{7}{8}\right)^3.\left(-\frac{2}{7}\right)^2.\left(-7\right).\left(-\frac{1}{14}\right)=\left(-1\right).\left(-\frac{343}{512}\right).\left(-\frac{4}{49}\right).\left(-7\right).\left(-\frac{1}{14}\right)=-\frac{343.4.7}{512.49.14}=\frac{7}{256}\)
28.37+37:28+37
=28.37+37.\(\frac{1}{2^8}\)+37
=(28+\(\frac{1}{2^8}\)+1).37
=\(\approx\)562067,543
5^6+5^7+5^8
=5^6.(1+5+5^2)
=5^6.31 chia hết cho 31
7^6+7^5-7^4
=7^4.(7^2+7-1)
=7^4.55 chia hết cho 11
BÀI 2:
a) \(5^6+5^7+5^8=5^6\left(1+5+5^2\right)=5^6.31\) \(⋮\)\(31\)
b) \(7^6+7^5-7^4=7^4.\left(7^2+7-1\right)=7^4.55\)\(⋮\)\(11\)
c) \(2^3+2^4+2^5=2^3.\left(1+2+2^2\right)=2^3.7\)\(⋮\)\(7\)
d) mk chỉnh đề
\(1+2+2^2+2^3+...+2^{59}\)
\(=\left(1+2\right)+\left(2^2+2^3\right)+...+\left(2^{58}+2^{59}\right)\)
\(=\left(1+2\right)+2^2\left(1+2\right)+...+2^{58}\left(1+2\right)\)
\(=\left(1+2\right)\left(1+2^2+...+2^{58}\right)\)
\(=3\left(1+2^2+...+2^{58}\right)\)\(⋮\)\(3\)
a, 3+1/10+2/100=3+0,1+0,02=3,3
b, 20+3/100+5/1000=20+0,03+0,005=20,035
c,4/10+5/100+6/1000=0,4+0,05+0,006=0,456
\(A=1+4+4^2+4^3+4^4+4^5+4^6+4^7+4^8\)
\(A=1+4^{1+2+3+4+5+6+7+8}\)
\(A=1+4^{36}\)
khó quá cậu ơi
a) \(63^7< 64^7=\left(2^6\right)^7=2^{42}< 2^{48}=\left(2^4\right)^{12}=16^{12}\Rightarrow63^7< 16^{12}\)
b) \(3^{151}>3^{150}=\left(3^2\right)^{75}=9^{75}>8^{75}=\left(2^3\right)^{75}=2^{225}\)
c) \(9^{20}=\left(3^2\right)^{20}=3^{40}>3^{39}=\left(3^3\right)^{13}=27^{13}\Rightarrow9^{20}>27^{13}\)
bài 2:
a)\(2^x=32\Leftrightarrow2^x=2^5\Leftrightarrow x=5\)
b)\(2x+3^4=7^2\Leftrightarrow2x+81=49\Leftrightarrow2x=-32\Leftrightarrow x=-16\)
c)\(12x-33=3^2\Leftrightarrow12x-33=9\Leftrightarrow12x=42\Leftrightarrow x=\frac{7}{2}\)
52 . 57 = 52 + 7 = 59
75 . 7 = 7 . 7 . 7 . 7 . 7 . 7 = 76
\(A=7+7+7^2+...+7^{100}\)
\(7A=7^2+7^2+7^3+...+7^{101}\)
\(A=14+7^2+7^{101}\)
Em xem thử lại đề bài nhé