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] thus
[tex]2^{-3}[/tex] = [tex]\frac{1}{2^{3} }[/tex] = [tex]\frac{1}{8}[/tex]
[tex]3^{-2}[/tex] = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex]
Then
[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{9}[/tex] = [tex]\frac{1}{72}[/tex]
Answer:
1/72.
Step-by-step explanation:
2^-3 = 1 / 2^3 = 1/8.
3^-2 = 1/3^2 = 1/9
So the answer is 1/8 * 1/9
= 1/72.
