Question

What is 5^-3 kg expressed as a quotient?

Answer 1

The negative exponent means put inverse of \(5^3\).

So now what do you think this looks like?

Answer 2

$$
\large{
5^{-3}=\frac{1}{5^3}
}
$$
That's what a negative exponent means.

Answer 3

other approach/ more details
the quotient is what you get when you divide
5^-3 means 5^0-3
when you have the same base and subtract exponents you are dividing
5^0-3 = 5^0 / 5^3 and 5^0 = 1 thus 5^-3 = 1/5^3 as above