To divide \( 8.03 \times 10^{-8} \) by \( 2.56 \times 10^{4} \), you can follow these steps:
- Divide the coefficients: \( \frac{8.03}{2.56} \).
- Subtract the exponents of the powers of ten: \( 10^{-8} \div 10^{4} = 10^{-8 - 4} = 10^{-12} \).
Now, let's calculate the coefficient division:
\[ \frac{8.03}{2.56} \approx 3.134375 \]
Now, combining the results:
\[ \frac{8.03 \times 10^{-8}}{2.56 \times 10^{4}} = 3.134375 \times 10^{-12} \]
Thus, \( 8.03 \times 10^{-8} \div 2.56 \times 10^{4} \approx 3.134375 \times 10^{-12} \).
For significant figures, since \( 8.03 \) has 3 significant figures and \( 2.56 \) has 3 significant figures, we should round the result to 3 significant figures.
So the final answer is:
\[ \approx 3.13 \times 10^{-12} \]