Final answer:
The multiplication of (6.2 × 10^4) by (3.3 × 10^2) results in 2.046 × 10^7, when expressed in scientific notation.
Step-by-step explanation:
The result of the multiplication (6.2 × 104) × (3.3 × 102), expressed in scientific notation, involves multiplying the coefficients (6.2 and 3.3) and then adding the exponents of 10 (4 and 2). It's important to recall that we must perform both steps to arrive at the correct answer in scientific notation.
The product of the coefficients is 20.46 and when we add the exponents the result is 106. So the multiplication gives us 20.46 × 106, but in correct scientific notation, we want the coefficient to be between 1 and 10. To achieve this we adjust the coefficient to 2.046 and increase the exponent by 1, giving us the result: 2.046 × 107.