Problem

Evaluate: $3^{-3}=$
A. -27
B. -9
C. $\frac{1}{9}$
D. $\frac{1}{27}$

Answer

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Answer

\( \frac{1}{3 \times 3 \times 3} = \boxed{\frac{1}{27}} \)

Steps

Step 1 :\( 3^{-3} = \frac{1}{3^3} \)

Step 2 :\( \frac{1}{3^3} = \frac{1}{3 \times 3 \times 3} \)

Step 3 :\( \frac{1}{3 \times 3 \times 3} = \boxed{\frac{1}{27}} \)

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