Respuesta :
[tex] \frac{ 6^{-3}}{ 6^{5} } = 6^{-3 -5} = 6^{-8} [/tex]
[tex] \frac{ 6^{8} }{ 6^{2} } = 6^{8-2} = 6^{6} [/tex]
[tex] \frac{ 6^{8} }{ 6^{2} } = 6^{8-2} = 6^{6} [/tex]
Answer:
The correct option is C) 1 over 6 to the 8th power.
Step-by-step explanation:
Consider the provided expression.
6 to the negative 3rd power over 6 to the 5th. This can be written as:
[tex]\frac{6^{-3}}{6^5}[/tex]
Apply the exponent rule: [tex]\frac{x^a}{x^b}=\frac{1}{x^{b-a}}[/tex]
By using the above rule.
[tex]\frac{1}{6^{5-(-3)}}[/tex]
[tex]\frac{1}{6^{5+3}}[/tex]
[tex]\frac{1}{6^{8}}[/tex]
Hence, the simplified form is [tex]\frac{1}{6^{8}}[/tex]
Thus, the correct option is C) 1 over 6 to the 8th power.
