27. Simplify the following expression $$ 3^{-3} $$

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UpStudy AI · Accepted Answer

1. Recognize that a negative exponent indicates taking the reciprocal of the base raised to the corresponding positive exponent:
   
   $$
   a^{-n} = \frac{1}{a^n}
   $$

2. Apply this rule to the given expression:

$$
   3^{-3} = \frac{1}{3^3}
   $$

3. Calculate $$ 3^3 $$:

$$
   3^3 = 3 \times 3 \times 3 = 27
   $$

4. Substitute the value back into the expression:

$$
   \frac{1}{3^3} = \frac{1}{27}
   $$

The simplified expression is $$\frac{1}{27}$$.
The simplified expression is $$\frac{1}{27}$$.

27. Simplify the following expression \( 3^{-3} \)

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