Question

If $m=2$, then find the value of $m^5÷m^6\times {\left(\frac{1}{m}\right)}^4$.

Answer 1

$m=2$

$\Rightarrow$ So, $\left(\frac{m^5}{m^6}\right){\left(\frac{1}{m}\right)}^4=\frac{m^5}{m^6\times m^4}=\frac{m}{m^6}=\frac{1}{m^5}$

$=\frac{1}{2^5}$

$=\frac{1}{32}.$

Hence, the answer is $\frac{1}{32}.$