9514 1404 393
Answer:
1/108
Step-by-step explanation:
Make use of the rule of exponents ...
a^-b = 1/a^b
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[tex]\dfrac{2^{-2}}{3^3}=\dfrac{1}{(2^2)(3^3)}=\dfrac{1}{4\cdot 27}=\boxed{\dfrac{1}{108}}[/tex]
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If you type this expression into your calculator, you will get the repeating decimal ...
[tex]\dfrac{2^{-2}}{3^3}=0.00\overline{925}=\dfrac{925}{99900}=\boxed{\dfrac{1}{108}}[/tex]
Some calculators will convert this to a fraction for you.
