1. **State the problem:** We need to solve and write in standard form correct to 3 significant figures the expression $$\frac{5.34 \times 10^{5}}{3.26 \times 10^{-8}}$$. 2. **Recall the rule for division of numbers in scientific notation:** $$\frac{a \times 10^{m}}{b \times 10^{n}} = \frac{a}{b} \times 10^{m-n}$$ 3. **Apply the rule:** $$\frac{5.34 \times 10^{5}}{3.26 \times 10^{-8}} = \frac{5.34}{3.26} \times 10^{5 - (-8)} = \frac{5.34}{3.26} \times 10^{13}$$ 4. **Calculate the division of the coefficients:** $$\frac{5.34}{3.26} \approx 1.637423$$ 5. **Round to 3 significant figures:** $$1.637423 \approx 1.64$$ 6. **Write the final answer in standard form:** $$1.64 \times 10^{13}$$ **Answer:** $$1.64 \times 10^{13}$$