Question

\(2009^{\left(1000-1^3\right)\cdot\left(100-2^3\right)\cdot...\left(1000-15^3\right)}\)

mik dang can gap

 

Answer 1

\(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-15^3\right)}\)

= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-10^3\right)..\left(1000-15^3\right)}\)

= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...\left(1000-1000\right)..\left(1000-15^3\right)}\)

= \(2009^{\left(1000-1^3\right).\left(1000-2^3\right)...0..\left(1000-15^3\right)}\)

= \(2009^0\)

= \(1\)