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MATH / When the expression (2¹)(2²)(2³)⋯(2⁹⁹)(2¹⁰⁰) is written as an integer, what is the product of the tens digit and the ones digit?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

When the expression (21)(22)(23)⋯(299)(2100)(2^1)(2^2)(2^3)\cdots (2^{99})(2^{100}) is written as an integer, what is the product of the tens digit and the ones digit?
Plain-text mathematical notation (without MathML)
When the expression (2¹)(2²)(2³)⋯(2⁹⁹)(2¹⁰⁰) is written as an integer, what is the product of the tens digit and the ones digit?
Original LaTeX notation
When the expression $(2^1)(2^2)(2^3)\cdots (2^{99})(2^{100})$ is written as an integer, what is the product of the tens digit and the ones digit?

level

Level 5

type

Number Theory

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Source and history

task_id
d26f5296-854a-5f08-a262-16fc6e4c3242
task_key
number~5ftheory--test--d26f5296-854a-5f08-a262-16fc6e4c3242
task_revision_id
1
config / split
number_theory / test

Official source

initial import