Question

Giá trị của biểu thức C= \(\left(\frac{1}{125}-\frac{1}{1^3}\right)\left(\frac{1}{125}-\frac{1}{2^3}\right)...\left(\frac{1}{125}-\frac{1}{25^3}\right)\)

Answer 1

C=0 nghe bạn

Answer 2

ko pít

Answer 3

\(C=\left(\frac{1}{125}-\frac{1}{1^3}\right).\left(\frac{1}{125}-\frac{1}{2^3}\right)....\left(\frac{1}{125}-\frac{1}{5^3}\right)...\left(\frac{1}{125}-\frac{1}{25^3}\right)\)

\(\Rightarrow C=\left(\frac{1}{125}-\frac{1}{1^3}\right).\left(\frac{1}{125}-\frac{1}{2^3}\right)...0...\left(\frac{1}{125}-\frac{1}{25^3}\right)\)

\(\Rightarrow C=0\)

Answer 4

\(C=\left(\frac{1}{125}-\frac{1}{1^3}\right).\left(\frac{1}{125}-\frac{1}{2^3}\right)...\left(\frac{1}{125}-\frac{1}{5^3}\right)...\left(\frac{1}{125}-\frac{1}{25^5}\right)\)

\(=\left(\frac{1}{125}-1\right).\left(\frac{1}{125}-\frac{1}{8}\right)...0...\left(\frac{1}{125}-\frac{1}{25^3}\right)\)

\(=0\)