Final answer:
To solve (4 x 10^3) x (3x10^4), multiply the numbers to get 12 and add the exponents of the powers of 10 to get 10^7, resulting in 12 x 10^7.
Step-by-step explanation:
The solution to (4 x 10^3) x (3x10^4) involves two steps: multiplying the numeric parts (4 and 3) and then dealing with the powers of 10. To solve (4 x 10^3) x (3x10^4), multiply the numbers to get 12 and add the exponents of the powers of 10 to get 10^7, resulting in 12 x 10^7.
First, multiply 4 by 3, which gives 12. Then, use the exponent rule for multiplying powers of 10, wherein you add the exponents when you have the same base. Since we have 10^3 and 10^4, adding the exponents gives us 10^(3+4) or 10^7. Therefore, the solution is 12 x 10^7.