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Exponential notation is a useful way of writing big numbers. Exponential notation means "to the power of...". For example: 24 means 2x2x2x2 (2 times itself three times) 10^8 (another way of writing exponential notation) means 100000000 (1 with 8 zeros after it).
83. The index 3 shows that 8 is multiplied three times.
5.2 x 103 in standard notation is 5,200
Yes, that is correct.
The answer is five and twenty-three hundredths times ten to the negative seventh power.