The equation you provided seems to show a conversion between meters and millimeters.
To clarify:
1 meter (m) = 1000 millimeters (mm)
So, when you have \(6.4 \times 10^{-2}\) meters, you can convert it to millimeters as follows:
\[ 6.4 \times 10^{-2} \text{ m} = 6.4 \times 10^{-2} \times 1000 \text{ mm} \]
Now, calculate:
\[ 6.4 \times 1000 = 6400 \]
Thus,
\[ 6.4 \times 10^{-2} \text{ m} = 6400 \text{ mm} \]
So the correct expression is:
\[ 6.4 \times 10^{-2} \text{ m} = 6.4 \times 10^{3} \text{ mm} \]
It looks like your original expression has a small misunderstanding in the exponent. The correct conversion of \(6.4 \times 10^{-2}\) m gives \(6.4 \times 10^{3}\) mm.