Bài 1: Tìm n biết
a,\(\frac{1}{9}\)\(\times\)27n\(=\)3n
b, \(\frac{1}{2}\)\(\times\)2n\(+\)4\(\times\)2n\(=\)9\(\times\)25
c, 32-n\(\times\)16n\(=\)2048
Bài 2: Rút gọn A=46:\(\frac{9^5+6^9\times120}{-8^4\times3^{12}-6^{11}}\)
Bài 3: Chứng minh:
a, (76+75-74)\(⋮\)11
b, (32+2-2n+2+3n-2n)\(⋮\)10
c, (3n+3+3n+1+3n+2+3n+3)\(⋮\)6
Bài 4: Tìm n biết
a, 2\(\times\)16>2n>4
b, 9\(\times\)27\(\le\)3n\(\le\)243
5: (\(\dfrac{1}{3}\) - \(\dfrac{1}{4}\))2+ 0,2510\(\times\) 4\(\times\) 410 - (-12)4:64
Cho biểu thức A= \(\frac{2}{1}\times\frac{4}{3}\times\frac{6}{5}\times\frac{8}{7}\times\frac{10}{9}\times...\times\frac{100}{99}\)Chứng minh rằng 12<A<13
Tìm số nguyên n, biết rằng:
\(\dfrac{1}{4} . \dfrac{2}{6} . \dfrac{3}{8} .\dfrac{4}{10} . \dfrac{5}{12} .... \dfrac{30}{62} . \dfrac{31}{64} = 2^{n}\)\(\)
Tìm \(x\), biết:
\(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}.\frac{4}{10}.\frac{5}{12}\times...\times\frac{30}{62}.\frac{31}{64}=4^x\)
Help me!!!!! giúp tớ với, nhanh nha
1.Tính giá trị tuyệt đối:(hẹp me)
a)\(\frac{72^3\times54^2}{108^4}\)
b)\(\frac{3^{10}\times11+3^{10}\times5}{3^9\times2^4}\)
c)\(\left(1:\frac{1}{7}\right)^2[\left(2^2\right)^3:2^5]\times\frac{1}{49}\)
d)\(\frac{4^6\times3^5-2^{12}\times3^6}{2^{12}\times9^3+8^4\times3^5}\)
\(10^n\)+3\(\times\)\(4^{n+2}\)+5\(⋮\)9
\(\dfrac{4^{10}\times9^6+3^{12}\times8^5}{6^{13}\times4-2^{16}\times3^{12}}\)
\(\dfrac{2^4\times2^6}{\left(2^5\right)^2}-\dfrac{2^5\times15^3}{6^3\times10^2}\)
\(\dfrac{\left(-2\right)^{10}\times3^{31}+2^{40}\times\left(-3\right)^6}{\left(-2\right)^{11}\times\left(-3\right)^{31}+2^{41}\times3^6}\)
giải chi tiết giúp mình nhé
tìm n biết;a.\(\frac{1^{n+3}}{2}:\frac{1^5}{2}=\frac{1^7}{2}\)b.\(\frac{1^{12-n}}{3}.\frac{1^5}{3}=\frac{1^{14}}{3}\)c.\(\frac{-32}{-2^n}=4\)d.\(\frac{8}{2^n}=2\)e.\(\frac{25^3}{5^n}=25\)g.\(\frac{1^{2n-1}}{2}=\frac{1}{8}\)l.\(^{8^{10}:2^n=4^5}\)k.\(2^n.81^4=27^{10}\)
giúp mình với mai mình học rồi
