Yes, it is divisible by 17.
Given that,
[tex]16^5+16^4[/tex] is divisible by 17.
According to the question,
To determine [tex]16^5+16^4[/tex] is divisible by 17 following all the steps given below.
Rewrite the function and solving,
[tex]= 16^5+16^4\\\\= 16 \times 16 \times 16 \times 16 \times 16+ 16 \times 16 \times 16 \times 16 \times 16\\\\= 1048576+65536\\\\= 68,719,476,736[/tex]
Therefore,
[tex]= \dfrac{68,719,476,736}{17}\\\\= 4,042,322,160.94[/tex]
Hence, Yes it is divisible by 17.
To know more about Division click the link given below.
https://brainly.com/question/369266
