What is the smallest power of 10 that would exceed \( 907,654,321,656,765 \),

To find the smallest power of 10 that exceeds \( 907,654,321,656,765 \), we first need to determine the number of digits in the number. The number \( 907,654,321,656,765 \) has 15 digits. The powers of 10 are as follows: - \( 10^{14} = 100,000,000,000,000 \) (14 digits) - \( 10^{15} = 1,000,000,000,000,000 \) (15 digits) - \( 10^{16} = 10,000,000,000,000,000 \) (16 digits) Since \( 907,654,321,656,765 \) has 15 digits, we compare it with \( 10^{15} \) and \( 10^{16} \): - \( 10^{15} = 1,000,000,000,000,000 \) is greater than \( 907,654,321,656,765 \). - \( 10^{16} = 10,000,000,000,000,000 \) is also greater than \( 907,654,321,656,765 \). Thus, the smallest power of 10 that exceeds \( 907,654,321,656,765 \) is \( 10^{16} \). Therefore, the answer is \[ \boxed{16} \]