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A sheet of paper is cut into 5 same-size parts. Each of the parts is then cut into 5 same-size parts and so on. a. After the 4th cut, how many of the smallest pieces of paper are there? b. After the nth cut, how many of the smallest pieces of paper are there? a. There are 625 of the smallest pieces of paper after the 4th cut. (Type your answer using exponential notation.) b. There are of the smallest pieces of paper after the nth cut. (Type your answer using exponential notation.)

A sheet of paper is cut into 5 same-size parts. Each of the parts is then cut into 5 same-size parts and so on. a. After the 4th cut, how many of the smallest pieces of paper are there? b. After the nth cut, how many of the smallest pieces of paper are there? a. There are 625 of the smallest pieces of paper after the 4th cut. (Type your answer using exponential notation.) b. There are of the smallest pieces of paper after the nth cut. (Type your answer using exponential notation.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 37E
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A sheet of paper is cut into 5 same-size parts. Each of the parts is then cut into 5 same-size parts and so on. a. After the 4th cut, how many of the smallest pieces of paper are there? b. After the nth cut, how many of the smallest pieces of paper are there? a. There are 625 of the smallest pieces of paper after the 4th cut. (Type your answer using exponential notation.) b. There are of the smallest pieces of paper after the nth cut. (Type your answer using exponential notation.)
Transcribed Image Text:A sheet of paper is cut into 5 same-size parts. Each of the parts is then cut into 5 same-size parts and so on. a. After the 4th cut, how many of the smallest pieces of paper are there? b. After the nth cut, how many of the smallest pieces of paper are there? a. There are 625 of the smallest pieces of paper after the 4th cut. (Type your answer using exponential notation.) b. There are of the smallest pieces of paper after the nth cut. (Type your answer using exponential notation.)
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