3 • 10^8 4,6 • 10^3

To perform operations with the numbers you've provided, it seems you might be interested in multiplication or addition of these two numbers written in scientific notation. 1. **Multiplying the numbers**: \[ (3 \cdot 10^8) \cdot (4.6 \cdot 10^3) = (3 \cdot 4.6) \cdot (10^8 \cdot 10^3) = 13.8 \cdot 10^{8+3} = 13.8 \cdot 10^{11} \] To express it in standard scientific notation, \(13.8\) can be rewritten as \(1.38 \cdot 10^1\), thus: \[ 13.8 \cdot 10^{11} = 1.38 \cdot 10^1 \cdot 10^{11} = 1.38 \cdot 10^{12} \] 2. **Adding the numbers**: For addition, the numbers need to be expressed with the same exponent: \[ 3 \cdot 10^8 = 3 \cdot 10^8 \] \[ 4.6 \cdot 10^3 = 0.0046 \cdot 10^8 \quad (\text{shifting the decimal point to match exponents}) \] Now, add: \[ 3 \cdot 10^8 + 0.0046 \cdot 10^8 = (3 + 0.0046) \cdot 10^8 = 3.0046 \cdot 10^8 \] Please clarify if you would like further assistance with operations or specific problems!