Question

5^

16+ 125^5 is divisible by which of the following​

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{5^{16}+125^5}$

$\underline{\textsf{To find:}}$

$\mathsf{Which\;number\;divides\;5^{16}+125^5\;exactly}$

$\underline{\textsf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{5^{16}+125^5}$

$\mathsf{=5^{16}+(5^3)^5}$

$\mathsf{=5^{16}+5^{15}}$

$\mathsf{=5^{15}(5+1)}$

$\mathsf{=5^{15}(6)}\;\;\textsf{which\;is\;divisible\;by\;6}$

$\therefore\bf\mathsf{5^{16}+125^5\;is\;divisible\;by\;6}$

$\underline{\textsf{Find more:}}$

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