Make the given changes in the indicated examples of this section, and then rewrite the number as directed.

In Example 5, change the exponent 2 to −1 and then write the result in scientific notation.

Data from Example 5

In determining the gravitational force between two stars 750,000,000,000 km apart, it is necessary to evaluate 750,000,000,000². If 750,000,000,000 has three significant digits, we can show this by writing 750̅,000,000,000² = (7.50 ×10¹¹)² = 7.502 ×10^2×11 = 56.3 ×10²²

Since 56.3 is not between 1 and 10, we can write this result in scientific notation as 56.3 ×10²² = (5.63 ×10)(10²²) = 5.63 ×10²³