Respuesta :

The answer is 1.

3^3 = 27
27^-1 = 1/27
1/27 x 27 = 1

I took this test and got this question right.

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]

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