1. **State the problem:** Calculate $$\frac{4.67 \times 10^{-5} \times 6.98 \times 10^{12}}{5.04 \times 10^{3}}$$ and express the answer in standard form to 3 significant figures. 2. **Use the laws of indices:** When multiplying powers of 10, add the exponents. When dividing, subtract the exponents. 3. **Calculate the numerator:** $$4.67 \times 6.98 = 32.5946$$ $$10^{-5} \times 10^{12} = 10^{(-5+12)} = 10^{7}$$ So numerator = $$32.5946 \times 10^{7}$$ 4. **Calculate the denominator:** $$5.04 \times 10^{3}$$ 5. **Divide the numbers and powers of 10:** $$\frac{32.5946}{5.04} = 6.4647$$ $$10^{7} \div 10^{3} = 10^{7-3} = 10^{4}$$ 6. **Combine results:** $$6.4647 \times 10^{4}$$ 7. **Round to 3 significant figures:** $$6.46 \times 10^{4}$$ **Final answer:** $$6.46 \times 10^{4}$$