Question Details

Detailed explanation and options for the selected question.

What is the remainder when 5^100 is divided by 3?

A. 0
B. 1
C. 2
D. 3

Explanation:

By Fermat’s theorem or modular arithmetic, 5 ≡ 2 (mod 3). Then 2^100 mod 3 = 1. Other options miscalculate the remainder.

Related Topics

How to Identify Horizontal, Vertical, and Oblique Asymptotes

Revision Notes

How to Add and Subtract Fractions (Different Denominators)

Revision Notes

How to Calculate Probability of Simple Events

Revision Notes

How to Use Polar Coordinates in Algebra and Geometry

Revision Notes

How to Use the Pythagorean Theorem

Revision Notes

How to Multiply and Divide Negative Numbers

Revision Notes

How to Work with Mutually Exclusive and Non-Mutually Exclusive Events

Revision Notes

How to Solve Percent Proportions

Revision Notes

How to Graph an Ellipse from Standard Form

Revision Notes

How to Multiply and Divide Rational Expressions

Revision Notes