Exponential Law for same base:
[tex]{ \large{ \sf{ \red{ \star \: \: { \boxed{ \sf{(x {}^{a} )(x {}^{b} ) = x {}^{a + b} }}}}}}}[/tex]
Given:
[tex]{ \large{ \sf{ \red{ \rightarrow(x {}^{3} )(x {}^{ - 17} ) = x {}^{n} }}}}[/tex]
[tex]{ \large{ \red{ \sf{ \rightarrow{x {}^{3 - 17} = x {}^{n} }}}}}[/tex]
[tex]{ \large{ \sf{ \red{ \rightarrow{x {}^{ - 14} = x {}^{n} }}}}}[/tex]
[tex]{ \large{ \blue{ \therefore{ \underline{ \underline{ \sf{n = - 14} \: \: Ans.}}}}}}[/tex]
