Find the remainder when $10^{34} - 7$ is divided by 3.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Any power of 10 when divided by 3 gives a remainder of 1. Also, when 7 is divided by 3, remainder is 1. Therefore individual remainders are 1 and 1.

Thus, 1-1 = 0. Answer is 0.

Suggest Corrections

Similar questions

10^{34} - 7

1! + 2! + 3! + 4! + 5! + . . . + 49!

7

10^{100}

3^{40}

Find the remainder when ${7^{27}}^{16}^{3}$ is divided by 10.

Join BYJU'S Learning Program