4¹⁰-11 ni 10 ga bölgandagi qoldiqni toping?

To find the remainder when \(4^{10} - 11\) is divided by 10, we can use modular arithmetic.

### Step-by-Step Solution

1. **Calculate \(4^{10} \mod 10\):**

   We start by finding a pattern in the powers of 4 modulo 10.

   \[
   \begin{align*}
   4^1 &\equiv 4 \mod 10,\\
   4^2 &\equiv 16 \equiv 6 \mod 10,\\
   4^3 &\equiv 64 \equiv 4 \mod 10,\\


Discover how to find the remainder when 4 raised to the power of 10 minus 11 is divided by 10 using modular arithmetic. This problem explores concepts such as modular exponentiation and number theory, suitable for advanced high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation