Problem 99 - Algebra and Trigonometry

Question

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $$\frac{4.8 \times 10^{-2}}{2.4 \times 10^{6}}$$

Step-by-Step Solution

Answer

The final answer is \(2.0 \times 10^{-8}\)

Step 1: Division of Coefficients

Divide the numerical coefficients. So, \( \frac{4.8}{2.4} = 2 \)

Step 2: Subtraction of Exponents

Subtract the exponents. Because we have a division operation, we subtract the exponent of the denominator from the exponent of the numerator. \( -2 - 6 = -8 \).

Step 3: Writing the Final Result

Combine the result of the division of coefficients and the subtraction of exponents to form the final scientific notation. So, the answer is \(2.0 \times 10^{-8}\)