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This is scientific notation.
Scientific notation is straightforward and in this case, the 1 is the base number and the 107 is the number of decimal places (here it would be zeros) following. So, 1 x 107 is 10,000,000. This is generally true for base numbers not showing a decimal point. Just add the number of zeros in the superscript.
The only tricky part to scientific notation has to do with the decimal point.
Consider 3.14 x 105. Clearly 3.14 is the base. If not for the existing decimal point in the base, the 105 would call for 5 zeros at the end, but this is incorrect. (In other words, 3.1400000 is not right!)
Instead, what you need to do is move the decimal point 5 places to the right and add zeros as necessary. The correct answer would be 3.14 x 105 = 314,000.
(To verify, count the number of positions the decimal moved. Recall, any number that does not show a decimal always has an invisible decimal at the end .)
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What is 10 to the power of -10 times 10 to the power of 10?
1
What is the value of 10 to the sixth power?
Your 106 is 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 If you have 10 to a given power, then it's 10 times itself that many times. The rule of thumb is that 10 to any power is a 1 followed by that many zeros. What that means is that if you have 103 you'll have a 1 followed by 3 zeros, or 1,000. In the case of 108 you'll have a 1 followed by 8 zeros, or 100,000,000.
What is 5 to the negative seventh power?
5-7 = 1/57 = 1/78125 = 0.0000128
What is 10 to the power of 0?
10 to the power 0 is 1
Why is 10 to the power of negative 1 equal to 1 divided by 10?
When we raise a number to a negative exponent, it is the same as taking the reciprocal of the number raised to the positive exponent. So, 10 to the power of -1 is the same as 1 divided by 10 to the power of 1. Since 10 to the power of 1 is 10, the reciprocal of 10 is 1 divided by 10, which equals 0.1 or 1/10.
