Final answer:
The question involves the principles of multiplication and division in scientific notation, which simplifies calculations by focusing on multiplying or dividing the leading numbers and adding or subtracting the exponents of the powers of 10 respectively.
Step-by-step explanation:
The question you are asking relates to multiplication and division using scientific notation. Scientific notation is a way to express very large or very small numbers by multiplying a number between 1 and 10 by a power of 10. To multiply numbers in scientific notation, you multiply the leading numbers and add the exponents of the powers of 10. For example, (3 × 105) × (2 × 100) = 6 × 105+0 = 6 × 105.
Similarly, when you divide numbers in scientific notation, you divide the leading numbers and subtract the exponent in the denominator from the exponent in the numerator. For instance, (2.4 × 1013) divided by (8 × 107) becomes 2.4/8 × 1013-7, which is 0.3 × 106 or 3 × 105 after simplification. This method simplifies calculations and avoids the need for complex computations involving many zeros.