Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The final answer is 4.
Solution
1. Write the expression as:
\[
\frac{6^2}{3^2}
\]
2. Calculate the squares:
\[
6^2 = 36 \quad \text{and} \quad 3^2 = 9
\]
3. Substitute these values into the expression:
\[
\frac{6^2}{3^2} = \frac{36}{9}
\]
4. Divide \(36\) by \(9\):
\[
\frac{36}{9} = 4
\]
Thus, the final answer is \(4\).
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Simplify this solution Beyond the Answer
First, let's simplify \(6^{2}\) and \(3^{2}\). We find that \(6^{2} = 36\) and \(3^{2} = 9\). Then we can rewrite the fraction as \( \frac{36}{9} \), which simplifies beautifully to \(4\). So, \( \frac{6^{2}}{3^{2}} = 4\)! Now, if you wanted to do it without breaking a sweat, consider the properties of exponents: \( \frac{6^{2}}{3^{2}} = \left(\frac{6}{3}\right)^{2} = 2^{2} = 4\). It's way less calculation and just as effective!
