"\n">

\( \frac{26^{4} \times 3^{5} \times x^{7}}{13^{3} \times(6 x)^{4}} \)

"\n


$ \begin{array}{l}
\frac{26^{4} \ \times \ 3^{5} \ \times \ x^{7}}{13^{3} \ \times \ (6x)^{4}}\\
\\
\\
\\
=\ \frac{26\ \times \ 26\ \times \ 26\ \times \ 26\ \times \ 3\ \times \ 3\ \times \ 3\ \times \ 3\ \times \ 3\ \times \ 3\ \times \ x^{3} \ \times \ x^{4}}{13\ \times \ 13\ \times \ 13\ \times \ 6\ \times \ 6\ \times \ 6\ \times \ 6\ \times \ x^{4}}\\
\\
\\
\\
=\ \frac{2\ \times \ 2\ \times \ 2\ \times \ 26\ \times \ 1\ \times \ 1\ \times \ 1\ \times \ 1\ \times \ 3\ \times \ 3\ \times \ x^{3} \ \times \ 1}{1\ \times \ 1\ \times \ 1\ \times \ 2\ \times \ 2\ \times \ 2\ \times \ 2\ \times \ 1}\\
\\
\\
\\
=\ \frac{2\ \times \ 2\ \times \ 2\ \times \ 26\ \times \ 3\ \times \ 3\ \times \ x^{3}}{2\ \times \ 2\ \times \ 2\ \times \ 2}\\
\\
\\
=\ \frac{1\ \times \ 1\ \times \ 1\ \times \ 13\ \times \ 3\ \times \ 3\ \times \ x^{3}}{1\ \times \ 1\ \times \ 1\ \times \ 1}\\
\\
\\
=\ \mathbf{117x^{3}}
\end{array}$


Updated on: 10-Oct-2022

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