. \( 344_{5} \times 4_{5} \)

Calculate the value by following steps: - step0: Calculate: \(4\times 5^{0}\) - step1: Evaluate the power: \(4\times 1\) - step2: Multiply: \(4\) Calculate or simplify the expression \( 3*5^2 + 4*5^1 + 4*5^0 \). Calculate the value by following steps: - step0: Calculate: \(3\times 5^{2}+4\times 5^{1}+4\times 5^{0}\) - step1: Evaluate the power: \(3\times 5^{2}+4\times 5^{1}+4\times 1\) - step2: Evaluate the power: \(3\times 5^{2}+4\times 5+4\times 1\) - step3: Multiply the terms: \(75+4\times 5+4\times 1\) - step4: Multiply the numbers: \(75+20+4\times 1\) - step5: Multiply: \(75+20+4\) - step6: Add the numbers: \(99\) Calculate or simplify the expression \( 99 * 4 \). Calculate the value by following steps: - step0: Calculate: \(99\times 4\) - step1: Multiply the numbers: \(396\) To solve the problem \( 344_{5} \times 4_{5} \), we will first convert both numbers from base 5 to decimal (base 10) and then perform the multiplication. 1. **Convert \( 344_{5} \) to decimal:** \[ 344_{5} = 3 \times 5^2 + 4 \times 5^1 + 4 \times 5^0 = 3 \times 25 + 4 \times 5 + 4 \times 1 = 75 + 20 + 4 = 99 \] 2. **Convert \( 4_{5} \) to decimal:** \[ 4_{5} = 4 \times 5^0 = 4 \times 1 = 4 \] 3. **Multiply the decimal values:** \[ 99 \times 4 = 396 \] Thus, the result of \( 344_{5} \times 4_{5} \) in decimal is \( 396 \).