Question

Find p when 6 to the power of p divide 6 to the power of 5 equal square root of 6 ​

Answer 1

$\small\tt\red{Question : {6}^{p} \div {6}^{5} = \sqrt{6} }. \\ \\ \small\orange{\underline{ \underline{solution}: - }} \\ \\ \color{blue} {6}^{p} \div {6}^{5} = \sqrt{6} \\ \\ \color{blue}6 {}^{p - 5} = {6}^{ \frac{1}{2} } \\ \\ \color{blue}p - 5 = \frac{1}{2} \\ \\ \color{blue}p = \frac{1}{2} + 5 \\ \\ \color{blue}p = \frac{1 + 10}{2} \\ \\ \color{blue}p = \frac{11}{2} \\ \\ \color{blue}or \: \: p = 5.5 \: \: answer \\ \\ \huge\tt\pink{its \: riderji98}$