Final answer:
To solve 1.4 x 10² / 2 x 10³, divide the coefficients to get 0.7 and subtract the exponents to get 10^-1. The final answer in exponential notation is 0.7 x 10^-1.
Step-by-step explanation:
To solve the expression 1.4 x 10² / 2 x 10³, written in exponential notation, we can start by performing the division of the coefficients (1.4 / 2) and then subtract the exponents of the powers of 10 (since this is a division of the same base, 10).
Divide the coefficients:
1.4 / 2 = 0.7
Now, subtract the exponents:
10² / 10³ = 10^(2-3)= 10^-1
Combine the results to get the final answer in exponential notation:
0.7 x 10^-1
This can be further understood through the rule of multiplying exponentiated quantities, where you multiply the coefficients and add the exponents if they have the same base, and divide the coefficients and subtract the exponents for division.