Powers of 10 are easy to work out as they're a 1 with the exponent's number of zeroes after. Thus, 107 is 10,000,000. Now the question can be rewritten as the simple multiplication:
3.4 x 10,000,000
= 34,000,000
Thus 3.4x107 = 34,000,000
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3 times 10 to the 8th power divided by 7 times 10 to the negative 7th power equates to: 4.28571428571
7 with remainder 10.
2000 times larger
34*7 = 238
17