Question

Evaluate the following expression. 5^-1/5^0

Answer 1

EVALUATE.

Exact form:
1/5

Decimal Form: 0.2

Answer 2

I think you mean
`(5^(-1))/(5^0)`

ok, know some stuff

`x^0=1` for all real values of x

`x^(-m)=(1)/(x^m)`

so


`(5^(-1))/(5^0)=`

`((1)/(5^1))/(5^0)=`

`((1)/(5))/(5^0)=`

`((1)/(5))/(1)=`

`(1)/(5)`

it results in 1/5


or, we could have done

`(x^m)/(x^n)=x^(m-n)` and

`x^(-m)=(1)/(x^m)`
so

`(5^(-1))/(5^0)=5^(-1-0)=5^(-1)=(1)/(5^1)=(1)/(5)`



the result is
`(1)/(5)`