Question
Evaluate. Write your answer as a whole number or as a simplified fraction. \[ 3^{2} \cdot 3^{2}=\square \]
Ask by Dickson Chadwick. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 3^{2} \cdot 3^{2} = 81 \)
Solution
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The Deep Dive
To evaluate \( 3^{2} \cdot 3^{2} \), we can use the property of exponents that states \( a^{m} \cdot a^{n} = a^{m+n} \). So, we can rewrite the expression as: \[ 3^{2} \cdot 3^{2} = 3^{2+2} = 3^{4} \] Now, calculating \( 3^{4} \): \[ 3^{4} = 3 \cdot 3 \cdot 3 \cdot 3 = 9 \cdot 9 = 81 \] Therefore, the answer is: \[ \boxed{81} \]
