Final answer:
To calculate the value of (2.92 x 10⁶) ÷ (4 x 10⁻²), divide the numeric parts and subtract the exponents, resulting in 7.3 x 10⁷ in proper scientific notation.
Step-by-step explanation:
To work out the value of (2.92 x 10⁶) ÷ (4 x 10⁻²), we can use the properties of exponents and division in scientific notation. First, we'll divide the numeric parts and then subtract the exponents:
- Divide the numeric parts: 2.92 ÷ 4 = 0.73.
- Subtract the exponents of 10: 6 - (-2) = 6 + 2 = 8.
- Combine the results into scientific notation: 0.73 x 10⁸.
- Since we want the numeric part to be between 1 and 10 for proper scientific notation, we must adjust 0.73 to 7.3 and decrease the exponent by one: 7.3 x 10⁷.
The answer in proper scientific notation is 7.3 x 10⁷.