Final answer:
To make the statement 78,000,000,000 = 7.8x true, we need to express the number 78,000,000,000 in scientific notation. The number 78,000,000,000 can be written as 7.8 × 10^10 in scientific notation. Therefore, the power of 10 that makes the statement true is 10.
Step-by-step explanation:
To make the statement 78,000,000,000 = 7.8x true, we need to express the number 78,000,000,000 in scientific notation.
Scientific notation is represented in the form of a decimal coefficient multiplied by 10 raised to a specific power. In this case, we need to find the power of 10 that represents the number of decimal places we need to shift the decimal point in order to have a single digit to the left of the decimal.
The number 78,000,000,000 can be written as 7.8 × 1010 in scientific notation. Therefore, the power of 10 that makes the statement true is 10.