Problem 96 - College Algebra Essentials

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. $$\frac{6.9 \times 10^{8}}{3 \times 10^{5}}$$

Step-by-Step Solution

Answer

The result of the division is \(2.3 \times 10^{3}\).

Step 1: Divide the Coefficients

Start by dividing the coefficients of the two numbers; divide \(6.9\) by \(3\). The result is approximately \(2.3\).

Step 2: Subtract the Exponents

Next, subtract the exponent of the denominator from the exponent of the numerator; subtract \(5\) from \(8\). The result is \(3\).

Step 3: Combine the Results

Now, combine the result from the division of coefficients with the result from the subtraction of exponents. This will give us \(2.3 \times 10^{3}\).