\( 0.005763=5.763 \times 10^{n} \) What number does \( n \) represent?

To express \( 0.005763 \) in the form \( 5.763 \times 10^{n} \), we need to determine the appropriate value of \( n \). First, we can rewrite \( 0.005763 \) in scientific notation. The number \( 0.005763 \) can be expressed as: \[ 0.005763 = 5.763 \times 10^{-3} \] This is because moving the decimal point in \( 5.763 \) three places to the left gives us \( 0.005763 \). Thus, we have: \[ 0.005763 = 5.763 \times 10^{-3} \] From this, we can see that \( n = -3 \). Therefore, the value of \( n \) is \[ \boxed{-3} \]