Step-by-step explanation:
[tex] {2.71 \times 10}^{ - 3} [/tex]
This can be rewritten as
[tex]2.71 \times \frac{1}{10^{3} } [/tex]
If we will solve this way,
[tex]\frac{2.71}{1000} = 0.00271[/tex]
But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.
From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.
If the exponent has a positive value, move TO THE RIGHT.
For example,
[tex]2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710[/tex]
Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.
