Simplify to a single power of 3 : \[ \frac{3^{5}}{3} \] Answer Attempt 1 out of 2 Answer: 3 \( \square \)

Let's simplify the expression \(\frac{3^{5}}{3}\) to a single power of 3 step by step. ### Given: \[ \frac{3^{5}}{3} \] ### Step 1: Rewrite the Denominator with an Exponent Any number can be written with an exponent of 1. So, rewrite \(3\) as \(3^{1}\): \[ \frac{3^{5}}{3} = \frac{3^{5}}{3^{1}} \] ### Step 2: Apply the Laws of Exponents When dividing like bases, you subtract the exponents: \[ \frac{3^{5}}{3^{1}} = 3^{5-1} = 3^{4} \] ### Final Simplified Form: \[ 3^{4} \] ### Verification (Optional): If you'd like to verify the result, calculate \(3^{4}\): \[ 3^{4} = 3 \times 3 \times 3 \times 3 = 81 \] And compare it with the original expression: \[ \frac{3^{5}}{3} = \frac{243}{3} = 81 \] Both results match, confirming that the simplification is correct. **Answer:** \(3^{4}\) \(\square\)