Final answer:
The quotient of 6.1 × 10⁷ and 6.1 × 10² is 1 × 10⁵, as we subtract the exponents in scientific notation when dividing numbers with the same base.
Step-by-step explanation:
The quotient of 6.1 × 10⁷ and 6.1 × 10² is calculated by dividing the two expressions. Since the base number 6.1 is the same in both expressions, we only need to subtract the exponents according to the laws of exponents for division which states that a· to the power of m divided by a· to the power of n is equal to a· to the power of m-n. In this case, we have:
Quotient = (6.1 × 10⁷) / (6.1 × 10²)
Quotient = 10⁷ / 10²
Quotient = 10⁵
Thus, the quotient in scientific notation is 1 × 10⁵.