Question

\(\left(\frac{1}{38}-1\right)\cdot\left(\frac{1}{37}-1\right)\cdot\left(\frac{1}{36}-1\right)\cdot...\cdot\left(\frac{1}{2}-1\right)\)

mik dang can gap

mik se tick cho

THANKS

Answer 1

\(\left(\frac{1}{38}-1\right).\left(\frac{1}{37}-1\right).\left(\frac{1}{36}-1\right)....\left(\frac{1}{2}-1\right)\)

\(=-\left(1-\frac{1}{38}\right).\left(1-\frac{1}{37}\right)....\left(1-\frac{1}{2}\right)\)

\(=-\frac{37}{38}.\frac{36}{37}...\frac{1}{2}\)

\(=\frac{-1}{38}\)

Answer 2

\(\left(\frac{1}{38}-1\right)\left(\frac{1}{37}-1\right)\left(\frac{1}{36}-1\right).......\left(\frac{1}{2}-1\right)\)

\(=\frac{-37}{38}.\frac{-36}{37}.\frac{-35}{36}.......\frac{-2}{3}.\frac{-1}{2}\)

\(=\frac{-1}{38}\)

Answer 3

\(\left(\frac{1}{38}-1\right)\left(\frac{1}{37}-1\right)\left(\frac{1}{36}-1\right)...\left(\frac{1}{2}-1\right)\)

\(=\frac{-37}{38}\cdot\frac{-36}{37}\cdot\frac{-35}{36}\cdot...\cdot\frac{-1}{2}\)

\(=-\frac{1}{38}\)

Answer 4

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Answer 5

\(\left(\frac{1}{38}-1\right).\left(\frac{1}{37}-1\right).\left(\frac{1}{36}-1\right).....\left(\frac{1}{2}-1\right)\)

\(=\frac{-37}{38}.\frac{-36}{37}.\frac{-35}{36}.....\frac{-1}{2}\)

\(=\frac{-1}{38}\)

Rất vui vì giúp đc bạn <3