Answer
\[6.47\times {{10}^{-7}}\].
Work Step by Step
Any real number in the form \[a\times {{10}^{n}}\] is said to be in the scientific notation, where \[1\le a<10\], and n is any integer.
Since, the provided real number \[0.000000647\]is less than \[1\], so n must be negative in the scientific notation \[a\times {{10}^{n}}\].
To determine the value of a, move the decimal point from left to right in the provided real number \[0.000000647\], as provided number is less than \[1\].
So, \[a=6.47\].
Again, the decimal point moves \[7\] places right in \[0.000000647\], so\[n=-7\].
Hence the scientific notation of the real number \[0.000000647\]is \[6.47\times {{10}^{-7}}\].
Expression of \[0.000000647\]in scientific notation is \[6.47\times {{10}^{-7}}\].