Question

if m= -3/2 and n = 5/6 then show that p^m÷p^n = p^m-n​

Answer 1

Answer:

if m= -3/2 and n = 5/6

$show \: that \\ {p}^{m} \div {p}^{n} = {p}^{m - n} \\ \\ {p}^{ \frac{ - 3}{2} } \div {p}^{ \frac{5}{6} } = {p}^{\frac{ - 3}{2} - \frac{5}{6} } \\ = {p}^{ \frac{ - 9}{6} - \frac{5}{6 } } \\ = {p}^{ \frac{ - 9 - 5}{6} } \\ = {p}^{ \frac{ - 14}{6} }$