Question

Which of the following expressions is equal to 5^6/5^2

A) 5.5.5

B) 1/5.5.5.5

C) 5.5.5.5

D) 3

Answer 1

`(5^6)/(5^2)` =
`5{\cdot}5{\cdot}5{\cdot}5`

Explanation:

The given expression is :

`(5^6)/(5^2)`

We need to find this expression is equal to what.

`(5^6)/(5^2)=(5^4* 5^2)/(5^2)\\\\=5^4\\\\=5* 5* 5* 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5`

Hence,
`(5^6)/(5^2)` is equal to
`5{\cdot}5{\cdot}5{\cdot}5`. Hence, the correct option is (c).