5) a = 3³1, b = 17
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Modulo Rules
Using the same format, is there a different way to solve this?
Transcribed Image Text:5) a = 3³¹, b = 17
331
17 3x (33)10
17 3 x 27 10
17 3 10 10
×
17 3 × (102)5
17 3 x 100 5
17 3× 15 5
17 3 × 15 5
F17
powers
arithmetic
27 17 10
=
17 45 x 225 2
17 45 x 42
17 45 x 16
17 11 * 16
17 176
17 6
powers
arithmetic
100 = 17 15
100 = 17 15
3×15×(15 2)2 powers
powers
225 = 17
arithmetic
45 = 17 11
arithmetic
modulus
Expert Solution
Step 1
The easiest way to solve these type of problems is to use Fermat's Little Theorem. We recall the result and then using the theorem solve the problem. The solution will involve a couple of steps.
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