(-5)^6 (-5)^7 / (-5)^3 (-5)^-8 (-5)^-3

[tex] \frac{( - 5)^{6} ( - 5)^{7} }{( - 5) ^{3}( - 5)^{ - 8} ( - 5) ^{ - 3} } = \\ \frac{( - 5)^{6 + 7} }{( - 5)^{3 - 8 - 3} } = \\ \frac{( - 5)^{13} }{( - 5) ^{ - 8} } = \\ ( - 5)^{13 - ( - 8)} = \\ ( - 5)^{21} [/tex]
GoodLuck:D

[tex] \frac{ - 5 {}^{6} \times - 5 {}^{7} }{ - 5 {}^{3} \times - 5 {}^{ - 8} \times - 5 {}^{ - 3} } \\ = \frac{ - 5 {}^{6 + 7} }{ - 5 {}^{3 + ( - 8) + ( - 3)} } \\ = \frac{ - 5 {}^{6 + 7} }{ - 5 {}^{3 - 8 - 3} } \\ = \frac{ - 5 {}^{13} }{ - 5 {}^{ - 8} } \\ = - 5 {}^{13 - ( - 8)} \\ = - 5 {}^{13 + 8} \\ = - 5 {}^{21} [/tex]