Final answer:
The quotient of 6.1 × 10⁷ and 6.1 × 10² expressed in scientific notation is 1 × 10⁵. You divide the coefficients and subtract the exponents to arrive at this answer.
Step-by-step explanation:
The quotient of 6.1 × 10⁷ and 6.1 × 10² in scientific notation is calculated by dividing the numbers and subtracting the exponents. This is done according to the rule for dividing numbers in scientific notation, where you divide the coefficients (the numbers before the exponent) and then subtract the exponents on the 10s.
Step 1: Divide the coefficients. Since they are the same number, 6.1 divided by 6.1 equals 1.
Step 2: Subtract the exponents. You take the exponent from the denominator (2) and subtract it from the exponent of the numerator (7). That gives you 7 - 2, which equals 5.
Therefore, the quotient expressed in scientific notation is 1 × 10⁵.