218.38.54.72.11.13-17-19 How many zeros are at the end of (201)2 when it is written in decimal form? Fill in the blanks below to show how to use the result of part (b) to answer this question. By the result of part (b), (20!) has factors of 2 and When (20!)2 is written in decimal form, each zero at its end comes from one factor of 2 together with one factor of . Thus, (201)2 has factors of 2 and factors of factors of , which implies that when (20!)2 is written in ordinary decimal form, it ends with zeros.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 39E
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218.38.54.72.11.13-17-19
How many zeros are at the end of (201)2 when it is written in decimal form? Fill in the blanks below to show how to use the result of part (b) to answer this question.
By the result of part (b), (20!) has
factors of 2 and
When (20!)² is written in decimal form, each zero at its end comes from one factor of 2 together with one factor of
J. Thus, (201)2 has
factors of 2 and
factors of
factors of
, which implies that when (20!)2 is written in ordinary decimal form, it ends
with
zeros.
Transcribed Image Text:218.38.54.72.11.13-17-19 How many zeros are at the end of (201)2 when it is written in decimal form? Fill in the blanks below to show how to use the result of part (b) to answer this question. By the result of part (b), (20!) has factors of 2 and When (20!)² is written in decimal form, each zero at its end comes from one factor of 2 together with one factor of J. Thus, (201)2 has factors of 2 and factors of factors of , which implies that when (20!)2 is written in ordinary decimal form, it ends with zeros.
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