## anonymous one year ago What is 5^-3 kg expressed as a quotient?

1. ybarrap

The negative exponent means put inverse of $$5^3$$. So now what do you think this looks like?

2. ybarrap

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

3. triciaal

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