To express the number 0.000013 in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point, and that will be the exponent of 10.
Starting with 0.000013, we move the decimal point 5 places to the right to obtain 1.3. The number 1.3 has one non-zero digit to the left of the decimal point. Therefore, the scientific notation of 0.000013 is:
1.3 x 10^-5
In scientific notation, the number is expressed as the product of a decimal number between 1 and 10 (in this case, 1.3) and 10 raised to a power (in this case, -5). The negative exponent indicates that the decimal point was moved to the left.
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