Question

7/8)^x ×(5/6)^x =(7/8 × 5/6)^16
Find the value of x
Answer is 16
I need explation​

Answer 1

$\large \bold \color{blue}{Explanation}$

$\implies$ $\large\frac {7}{8}^x \: × \: \large\frac {5}{6}^x \: = \: \large \frac {7}{8} \: × \: \large\frac {5}{6}^{16}$

$\implies$ $x \: = \: 16$

Because, $\large\frac {7}{8}$ and $\large\frac {5}{6}$ is cancelled.