D

\(A=\frac{9}{8}-\frac{8}{9}+\frac{3}{25}+\frac{1}{4}-\frac{5}{16}+\frac{19}{25}-\frac{1}{9}+\frac{2}{25}-\frac{1}{81}\)

\(A=\left(\frac{9}{8}+\frac{1}{4}-\frac{5}{16}\right)-\left(\frac{8}{9}+\frac{1}{9}-\frac{1}{81}\right)+\left(\frac{3}{25}+\frac{19}{25}+\frac{2}{25}\right)\)

\(A=\frac{17}{16}-\frac{80}{81}+\frac{24}{25}\)

\(A=\frac{33529}{32400}\)

A=1+2+3+...+99+100

Tui cux k bt nữa tui tính rồi mà tinhs mãi k ra 

Bà bt ln chưa chỉ tôi vs

a) \(\frac{x-3}{5}=\frac{4}{9}\)

=> ( x - 3) . 9 = 20

=> 9x - 27 = 20

=> 9x = 47

=> x = \(\frac{47}{9}\)

b) \(\left(x-\frac{1}{4}\right)^2:3^2=81\)

\(\Rightarrow\left(x-\frac{1}{3}\right)^2:9=81\)

\(\Rightarrow\left(x-\frac{1}{4}\right)^2=729\)

\(\Rightarrow x-\frac{1}{4}=27\) hoặc \(x-\frac{1}{4}=-27\)

+) \(x-\frac{1}{4}=27\Rightarrow x=\frac{109}{4}\)

+) \(x-\frac{1}{4}=-27\Rightarrow x=\frac{-107}{4}\)

đề tào lao

\(=\frac{2^4\cdot5^4\cdot3^4-2^4.3^2.5^2}{2^8\cdot3^3\cdot5^2}=\frac{2^4\cdot5^2\cdot3^2\left(5^2\cdot3^2-1\right)}{2^4\cdot3^2\cdot5^2\cdot2^4\cdot3}=\frac{15^2-1}{2^4\cdot3}\)

Nếu muốn thì nhân ra xong trừ rồi rút gọn sẽ được ps tối giản là 14/3

a)

\(\frac{16}{2^x}=2\)

\(\Rightarrow2^{x+1}=16\)

\(\Rightarrow2^{x+1}=2^4\)

\(\Rightarrow x+1=4\)

\(\Rightarrow x=3\)

b)

\(\frac{\left(-3\right)^x}{81}=-27\)

\(\Rightarrow\left(-3\right)^x=-\left(3^3.3^4\right)\)

\(\Rightarrow-3^x=-3^7\)

=> x=7

c)

\(8^n:2^n=4\)

\(\Rightarrow2^{3n}:2^n=4\)

\(\Rightarrow2^{3n-n}=4\)

\(\Rightarrow2^{2n}=2^2\)

=>2n=2

=>n=1

a) \(\frac{16}{2^n}=2\Rightarrow2^nx2=16\)

\(\Rightarrow2^n=16:2=8=2^3\)

\(\Rightarrow n=3\)

b) \(\frac{\left(-3\right)^n}{81}=-27\Rightarrow\left(-3\right)^n=\left(-27\right)x81=-2187\)

\(\Rightarrow\left(-3\right)^n=\left(-3\right)^7\Rightarrow n=7\)

c) \(8^n:2^n=4\Rightarrow\left(2^3\right)^n:2^n=2^2\)

\(\Rightarrow2^{3n}:2^n=2^2\)

\(\Rightarrow3n-n=2\)

\(\Rightarrow2n=2\Rightarrow n=1\)

Chúc bạn học tốt!