To solve the expression \( 48:(160^2) \), we need to calculate \( 160^2 \) first.
\( 160^2 = 160 \times 160 = 25600 \).
Now, we can write the expression as:
\[ 48 : 25600 \]
This is equivalent to:
\[ \frac{48}{25600} \]
Now we can simplify this fraction:
\[ \frac{48}{25600} = \frac{48 \div 16}{25600 \div 16} = \frac{3}{1600} \]
Therefore, the result of the expression \( 48:(160^2) \) is:
\[ \frac{3}{1600} \]