1. **State the problem:** Solve the expression $$\frac{8.988 \times 10^9 \times (-7.8 \times 10^{-12}) \times 5.3 \times 10^6}{0.35}$$. 2. **Recall the rules for multiplication and division of numbers in scientific notation:** - Multiply the coefficients (the numbers in front). - Add the exponents when multiplying powers of 10. - Divide coefficients and subtract exponents when dividing powers of 10. 3. **Calculate the numerator:** Multiply the coefficients: $$8.988 \times (-7.8) \times 5.3 = 8.988 \times (-7.8) = -70.1064; \quad -70.1064 \times 5.3 = -371.56392$$ Add the exponents: $$10^9 \times 10^{-12} \times 10^6 = 10^{9 - 12 + 6} = 10^3$$ So the numerator is: $$-371.56392 \times 10^3 = -371563.92$$ 4. **Divide by the denominator 0.35:** $$\frac{-371563.92}{0.35} = -1061611.2$$ 5. **Final answer:** $$-1.0616112 \times 10^6$$ This means the value of the expression is approximately $$-1.06 \times 10^6$$.