Answer:
1/9
Step-by-step explanation:
\(27^{-\frac{2}{3}}\)
To simplify the expression with fractional exponent , we write the base 27 in exponential form
\(27= 3 \cdot 3 \cdot 3= 3^3\)
\((3^3)^{-\frac{2}{3}}\)
Now we apply exponential property
\((a^m)^n= a^{mn}\)
\(3^{3 \cdot {-\frac{2}{3}}\)
\(3^{-2}\)
Write the answer with positive exponent, move the exponent to the denominator.
\(\frac{1}{3^2} =\frac{1}{9}\)
