MathDB
Many 9s Product

Source: AIME 2010I Problem 2

March 17, 2010
modular arithmeticAMC

Problem Statement

Find the remainder when 9×99×999×⋯×99⋯9⏟999 9’s9 \times 99 \times 999 \times \cdots \times \underbrace{99\cdots9}_{\text{999 9's}} is divided by 1000 1000.
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