Question

Find p when 6 to the power of p divide 6 to the power of 5 equal square root of 6
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Answer 1

`\small\tt\red{Question : {6}^(p) / {6}^(5) = √(6) }. \\ \\ \small\orange{\underline{ \underline{solution}: - }} \\ \\ \color{blue} {6}^(p) / {6}^(5) = √(6) \\ \\ \color{blue}6 {}^(p - 5) = {6}^{ (1)/(2) } \\ \\ \color{blue}p - 5 = (1)/(2) \\ \\ \color{blue}p = (1)/(2) + 5 \\ \\ \color{blue}p = (1 + 10)/(2) \\ \\ \color{blue}p = (11)/(2) \\ \\ \color{blue}or \: \: p = 5.5 \: \: answer \\ \\ \huge\tt\pink{its \: riderji98}`