Question

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

Answer 1

I think you mean $\frac{5^{-1}}{5^0}$

ok, know some stuff
$x^0=1$ for all real values of x
$x^{-m}=\frac{1}{x^m}$

so

$\frac{5^{-1}}{5^0}=$
$\frac{\frac{1}{5^1}}{5^0}=$
$\frac{\frac{1}{5}}{5^0}=$
$\frac{\frac{1}{5}}{1}=$
$\frac{1}{5}$

it results in 1/5


or, we could have done
$\frac{x^m}{x^n}=x^{m-n}$ and
$x^{-m}=\frac{1}{x^m}$
so
$\frac{5^{-1}}{5^0}=5^{-1-0}=5^{-1}=\frac{1}{5^1}=\frac{1}{5}$



the result is $\frac{1}{5}$

Answer 2

EVALUATE.

Exact form:
1/5

Decimal Form: 0.2