Question

the solution for x^8=10(mod11) is​

Answer 1

Given:

The given expression is:

$x^8=10(\text{mod}\ 11)$

To find:

We should find the value of $x$ by solving the given expression.

Solution:

According to the given question, the given expression is,

$\Rightarrow x^8=10(\text{mod}\ 11)$

Here, 10 is the dividend and 11 is the divisor, when mod is done, 0 is the quotient and 10 is the remainder.

The value of $10(\text{mod}\ 11)=10$.

$\Rightarrow x^8=10$

Take power $\frac{1}{8}$ on both sides.

$\Rightarrow (x^8)^\frac{1}{8}=10^\frac{1}{8}$

Simplifying the above expression.

$\Rightarrow x=10^\frac{1}{8}$

The value of $10^\frac{1}{8}$ is equal to $1.33$.

Now put above value in previous expression.

$\Rightarrow x=1.33$

Therefore, the value of $x$ is equal to $1.33$.

Answer 2

Answer:6

Step-by-step explanation: