Answer:
[tex]5^{-3}[/tex]
Step-by-step explanation:
Given the indicial expression
[tex](5^{-2})(5^{-1})[/tex]
First let us convert them to fraction;
5^-2 = 1/5^2
5^-2 = 1/25
Also;
5^-1 = 1/5^1
5^-2 = 1/5
Multiplying both fractions;
[tex](5^{-2})(5^{-1})[/tex] = 1/25 * 1/5
[tex](5^{-2})(5^{-1})[/tex] = 1/125
[tex](5^{-2})(5^{-1})[/tex] = 1/5^3
1/5^3 = [tex]5^{-3}[/tex]
Hence the required answer is [tex]5^{-3}[/tex]
