Answer:
1
Step-by-step explanation:
[tex]27 \cdot ((3^3)^{-1})[/tex]
We need to evaluate the given expression
3^3 is 3 times 3 times 3= 27
[tex]27 \cdot ((3^3)^{-1})[/tex]
[tex]27 \cdot ((27)^{-1})[/tex]
Now we apply exponential property
[tex]a^{-m}= \frac{1}{a^m}[/tex]
[tex]27^{-1}= \frac{1}{27}[/tex]
[tex]27 \cdot ((27)^{-1})[/tex]
[tex]27 \cdot \frac{1}{27}=1[/tex]