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
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
Seven times.
3.86 times 10 to the power of -7 equates to 0.000000386
3 times 10 to the 8th power divided by 7 times 10 to the negative 7th power equates to: 4.28571428571
You would multiply 7 by 7 34 times. This comes out to be 541,169,560,000,000,000,000,000,000,000,000,000.
7 with remainder 10.
2.1x1010 (30,000 x 700,000)
2000 times larger
3,376
34*7 = 238
5.93 x 10^3
Seven times.
17
700,000,000,000,000