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[tex]\\ \rm\longmapsto \dfrac{675^5}{675^8}[/tex]
[tex]\\ \rm\longmapsto 675^{5-8}[/tex]
[tex]\\ \rm\longmapsto 675^{-3}[/tex]
Or
[tex]\\ \rm\longmapsto \dfrac{1}{675^3}[/tex]
Answer:
• from law of indices:
[tex] \dashrightarrow \: { \tt{ \frac{a {}^{n} }{ {a}^{m} } = {a}^{(n - m)} }} \\ [/tex]
so, • a → 675
• n → 5
• m → 8
[tex]\dashrightarrow\:{ \tt{ \frac{ {675}^{5} }{675 {}^{8} } = {675}^{(5 - 8)} }} \\ \\ = { \boxed{ \boxed{ \tt{ {675}^{ - 3} }}}}[/tex]