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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_4 / How many digits are in the base-ten representation of 8⁵⋅5¹⁰⋅15⁵?

Problem

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problem

How many digits are in the base-ten representation of

8^5 \cdot 5^{10} \cdot 15^5

Plain-text mathematical notation (without MathML)

How many digits are in the base-ten representation of 8⁵⋅5¹⁰⋅15⁵?

Original LaTeX notation

How many digits are in the base-ten representation of $8^5 \cdot 5^{10} \cdot 15^5$?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_4
task_id: 8bdf390e-a428-59ce-bc03-b1aeebadb49e
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2023~5fAMC~5f12A~5fProblems~2fProblem~5f4
task_revision_id: 2
config / split: default / train

Official source

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