Question

In Exercise,Use properties of exponents to simplyfy the expression.
3^8/3^5

Answer 1

Answer:
`3^3` or
`27`

Explanation:

The division property of exponents (where bases are same but powers are different):
`(a^m)/(a^n)=a^(m-n)`

For example :
`(6^(5))/(6^(2))=6^(5-2)=6^3`

One more example ,
`(v^(2))/(v^(4))=v^(2-4)=v^(-2)`

The given expression :
`(3^8)/(3^(5))`

Then According to the division property of exponents , our expression will become

`3^(8-5)=3^3=3*3*3 =27`

Therefore , the simplified expression by using the property of exponent
`3^3\ or\ 27` .