Answer:
[tex]\frac{1}{27000}[/tex] or [tex]3.703[/tex] × [tex]10^{-5} \\[/tex]
Step-by-step explanation:
[tex]3^{-3} \\[/tex] is the same as [tex]\frac{1}{3}^{3}[/tex] or [tex]\frac{1}{27}[/tex].
[tex]10^{-3}[/tex] is the same as [tex]\frac{1}{10}^3[/tex] or [tex]\frac{1}{1000}[/tex].
So, [tex]3^{-3}[/tex] × [tex]10^{-3}[/tex] is basically [tex]\frac{1}{3}^{3}[/tex]× [tex]\frac{1}{10}^3[/tex] or [tex]\frac{1}{27}[/tex] × [tex]\frac{1}{1000}[/tex], which both are simplified to [tex]\frac{1}{27000}[/tex] .
[tex]\frac{1}{27000}[/tex] can also be written as [tex]3.703[/tex] × [tex]10^{-5} \\[/tex] in scientific notation in decimal form.