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. **Recall the rules for multiplying and dividing numbers in standard form:** - Multiply/divide the decimal parts separately. - Add/subtract the exponents of 10 accordingly. 3. **Multiply the numerators:** $$4.67 \times 6.98 = 32.5946$$ 4. **Multiply the powers of 10 in the numerator:** $$10^{-5} \times 10^{12} = 10^{(-5 + 12)} = 10^{7}$$ 5. **Combine the numerator:** $$32.5946 \times 10^{7}$$ 6. **Divide by the denominator decimal part:** $$\frac{32.5946}{5.04} = 6.4647$$ 7. **Divide the powers of 10:** $$\frac{10^{7}}{10^{3}} = 10^{7-3} = 10^{4}$$ 8. **Combine the result:** $$6.4647 \times 10^{4}$$ 9. **Express to 3 significant figures:** $$6.46 \times 10^{4}$$ **Final answer:** $$6.46 \times 10^{4}$$