Answer:
[tex]\frac{1}{72}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex], then
[tex]2^{-3}[/tex] = [tex]\frac{1}{2^{3} }[/tex] = [tex]\frac{1}{8}[/tex] and
[tex]3^{-2}[/tex] = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex]
Hence
[tex]2^{-3}[/tex] × [tex]3^{-2}[/tex]
= [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{9}[/tex]
= [tex]\frac{1(1)}{8(9)}[/tex]
= [tex]\frac{1}{72}[/tex]
