Find the remainder when 169 (144 to the power 25 ) is divided by 13 to the power 4. ( A. 5,021 B.3,927 C.4,563 D.3,251) ?

Question

stickman1998 · Answer

*hint* use a good calculator

stickman1998 · Answer

Try Symbolab.com

mathmath333 · Answer

is this the question

$\large \color{black}{\begin{align}
& \dfrac{169\times144^{25}}{13^{4}} \hspace{.33em}\~\
\end{align}}$

debpriya · Answer

Yes yes

mathmath333 · Answer

unfortunately there is no shortcut way i can find this can be calculated by only long way answer i think

scooby6363 · Answer

144^25 = 9.1E53
13^4 = 28561

169 * 9.1E53 = 1.538E56
1.538E56 / 28561 = 5.385E51 or 5.385 * 10^51

debpriya · Answer

Could you please explain ?

jhonyy9 · Answer

like a first step rewrite the 169 = 13^2

jhonyy9 · Answer

so will get 

13^2 *(12^2)^25
----------------  so simplify by 13^2 and will get 
         13^4

12^50
------ = ?
13^2

debpriya · Answer

Thank you !

mathmath333 · Answer

but what after 

12^50
------ = ?
13^2