division remainder

[Max]

Which of the following is the remainder when [tex]6^2 \cdot 4^2 is divided by 7?
(A) 0
(B) 1
(C) 2
(D) 5
(E) 6

Thanks

[jane]

The easiest way to answer quickly this question is to use your GDC and specifically the MOD which gives the remainder of a division.
For CASIO FX-9860GII do the following
RUN>OPTION>NUM>MOD
and you’ll find that the remainder when [tex]6^2 \cdot 4^2 is divided by 7 is 2, so the correct answer is (C).

Hope these help!

[Max]

Thank you Jane!