Answer: 1/625 0r 0.0016 is the product of the given expression.
Step-by-step explanation:
Here, The given expression, [tex]5^{-1} \times 5^-3[/tex]
We can write, [tex]5^-1 \times 5^-3=\frac{5^{-1}}{5^3}[/tex] ( because we can write [tex]a^m=1/a^{-m}[/tex])
⇒[tex]5^-1 \times 5^-3=\frac{1}{5^1\times 5^3}[/tex]
⇒[tex]5^-1 \times 5^-3=\frac{1}{5^{1+3}}[/tex] ( because [tex]a^m\times a^n=a^{m+n}[/tex])
⇒[tex]5^-1 \times 5^-3=\frac{1}{5^{4}}[/tex]
⇒[tex]5^-1 \times 5^-3=\frac{1}{625}[/tex]=[tex]0.0016[/tex]
