The remainder when $((64)^{(64)})^{(64)}$ is divided by $7$ is equal to

  • A
    $4$
  • B
    $1$
  • C
    $3$
  • D
    $6$

Explore More

Similar Questions

Using the binomial theorem,prove that $6^{n} - 5n$ always leaves a remainder of $1$ when divided by $25$ for all $n \in N$.

The remainder when $(2021)^{2023}$ is divided by $7$ is

Which of the following is divisible by $x^2-y^2$ for all $x \neq y$?

If the expression $5^{2n} - 48n + k$ is divisible by $24$ for all $n \in N$,then the least positive integral value of $k$ is

The remainder left when $8^{2n} - 62^{2n+1}$ is divided by $9$ is:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo