Question

Find the value of
(-3)^5/(-3)^6

Answer 1

-3^5/-3^6
-3^5-6
-3^-1
The law of negative index
1/3

Answer 2

`\boxed{ \bold{ (1)/(3) }}`

Explanation:

`\mathsf{ \frac{ { - 3}^(5) }{ { - 3}^(6) } }`

To divide two terms with the same base , the power of divisor is subtracted from the power of the dividend and the same base is taken

⇒
`\mathsf{ { - 3}^(5 - 6) }`

⇒
`\mathsf{ { - 3}^( - 1) }`

Applying law of negative index

⇒
`(1)/(3)`

Hope I helped!

Best regards!!