\( 4 + 3 ^ { 2 } ( 5 ) + \sqrt { 81 } + \div 3 = 52 \)

Let's break down the expression step by step to see if it equals 52. The expression given is: \[ 4 + 3^2(5) + \sqrt{81} + \div 3 \] First, we need to clarify the expression, as it seems there is a division operation without a number following it. Assuming you meant to write: \[ 4 + 3^2(5) + \sqrt{81} + \frac{1}{3} \] Let's calculate each part: 1. Calculate \(3^2\): \[ 3^2 = 9 \] 2. Multiply by 5: \[ 9 \times 5 = 45 \] 3. Calculate \(\sqrt{81}\): \[ \sqrt{81} = 9 \] 4. Now, substitute these values back into the expression: \[ 4 + 45 + 9 + \frac{1}{3} \] 5. Add the whole numbers: \[ 4 + 45 + 9 = 58 \] 6. Now, add \(\frac{1}{3}\): \[ 58 + \frac{1}{3} = 58.3333\ldots \] This does not equal 52. If the expression was intended differently, please clarify, and I can help you solve it accordingly.