Tìm số tự nhiên n

\(2n+2^{n+1}=24\)

\(\dfrac{125}{\left(-5\right)^n}=-25\)

\(\dfrac{n-2}{4}=\dfrac{1}{2}\)

Tìm x biết

a,(x-3)2=1

b,(x-\(\dfrac{1}{7}\))2=0

c,(2x+3)3=-27

d,(x+\(\dfrac{1}{2}\))2=\(\dfrac{1}{4}\)

e,-(5+35x)2=36

Biết rằng 12+ 22 +-.+102 = 385

Tính nhanh ( 122 + 142 + 162 + 182 + 202)- ( 12 + 32 + 52 + 72 + 92)

Tính

\(A=\left(1-\dfrac{1}{2^2}\right)\left(1-\dfrac{1}{3^2}\right)\left(1-\dfrac{1}{4^2}\right)...\left(1-\dfrac{1}{n^2}\right)\left(n\in N,n\ge2\right)\)

\(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)

\(\left(-5\right)^{2x+1}=\dfrac{-1}{125}\)

Giải giúp với nha anh em

1. Tìm x,y biết:

\(\left(x-2\right)^{20}+\left(y+1\right)^{30}\le0\)

Giúp mk vs

Chứng minh

( 2,57+3,56+4,55) chia hết cho 69

1: Tính : \(\dfrac{\left(\dfrac{2}{5}\right)^7.5^7+\left(\dfrac{9}{4}\right)^3:\left(\dfrac{3}{16}\right)^3}{2^7.5^2+512}\) 2 . Tìm x biết :\(\left(5.x+1\right)^2=\dfrac{36}{49}\)

Tính

a) ( \(\dfrac{2}{5}\)+ \(\dfrac{3}{4}\))2

b) ( \(\dfrac{5}{4}\)- \(\dfrac{1}{6}\)) 2