What is 348,000,000,000,000 estimated as the product of a single digit and a power of 10? NOTE: This is a question regarding scientific notation.

Verified Answer :

\(The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \ 10\ and\ n\in\mathbb{Z}.\\\\384,000,000,000,000=3.84\cdot10^{14}\)

The answer is 3.48 10^14.

For an elementary way of solving for the exponent of 10, you may begin to count from the rightmost digit until the decimal point is between 3 and 8. You will notice you have passed by 14 digits. Thus, 3.48
10^14.

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