What is the remainder when $301^4$ is divided by 10,000?

Question

0

2031

1

Guest May 9, 2015

+118723

+10

Best Answer

$${\frac{{{\mathtt{301}}}^{{\mathtt{4}}}}{{\mathtt{10\,000}}}} = {\mathtt{820\,854.120\: \!1}}$$

the fraction equivalent of the decimal part is 1201/10000

The remainder is 1201

Melody May 9, 2015

Melody · Answer 1 · 2015-05-09T12:58:37

$${\frac{{{\mathtt{301}}}^{{\mathtt{4}}}}{{\mathtt{10\,000}}}} = {\mathtt{820\,854.120\: \!1}}$$

the fraction equivalent of the decimal part is 1201/10000

The remainder is 1201