Question

A= \(\dfrac{-5}{13}\) x \(\dfrac{-4}{13}\) x \(\dfrac{-3}{13}\) x......x \(\dfrac{4}{13}\) x \(\dfrac{5}{13}\)

Answer 1

\(A.\dfrac{-5}{13}.\dfrac{-4}{13}.\dfrac{-3}{13}.....\dfrac{4}{13}.\dfrac{5}{13}\)

\(A=\dfrac{-5.-4.-3.-2.-1.0.1.2.3.4}{13^{10}}\)

\(A=\dfrac{0}{13^{10}}=0\)

Answer 2

\(A=\dfrac{-5}{13}\cdot\dfrac{-4}{13}\cdot\dfrac{-3}{13}\cdot...\cdot\dfrac{4}{13}\cdot\dfrac{5}{13}\)

\(A=\dfrac{\left(-5\cdot5\right)\cdot\left(-4\cdot4\right)\cdot...\cdot\left(-1\cdot1\right)\cdot0}{13\cdot13\cdot13\cdot...\cdot13}\)

\(A=\dfrac{0}{13\cdot13\cdot13\cdot...\cdot13}\)

\(A=0\)