Question

Work out the value of
(2.92 x 10⁶) ÷ (4 x 10⁻²)
give your answer in standard form

Answer 1

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:

1. Divide the numeric parts: 2.92 ÷ 4 = 0.73.
2. Subtract the exponents of 10: 6 - (-2) = 6 + 2 = 8.
3. Combine the results into scientific notation: 0.73 x 10⁸.
4. 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.