MCQ
The prime factorisation of $3^{13}-3^{10}$ is
  • A
    $3^{13} \times 2 \times 13$
  • B
    $3^{11} \times 2 \times 13$
  • C
    $3^{10} \times 2 \times 13$
  • D
    None of these

Answer

$\begin{aligned}
(c) : 3^{13}-3^{10} & =3^{10}\left(3^3-1\right)=3^{10}(26) \\
& =3^{10} \times 2 \times 13
\end{aligned}$

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