Final answer:
The solution to (4 x 10^3) x (3 x 10^4) in scientific notation is 1.2 x 10^8, achieved by multiplying the coefficients and adding the exponents of the powers of 10 together.
Step-by-step explanation:
The student asked for the solution to (4x 103) x (3x 104) written in scientific notation. To solve this, we will apply the rules of multiplying numbers in scientific notation. Specifically, when powers of 10 are multiplied, their exponents are added together.
First, we must address what appears to be a typographical error in the original question. The expression should be (4 x 103) x (3 x 104). Now let's solve the multiplication step by step:
- Multiply the coefficients (numerical parts) which are 4 and 3 together:
- 4 x 3 = 12
- Add the exponents of the powers of 10, which are 3 and 4:
- 103 x 104 = 103+4 = 107
- Combine the results to express the product in scientific notation:
- 12 x 107
The final answer is 1.2 x 108, since we adjusted the coefficient to maintain one nonzero digit to the left of the decimal point, which is the standard form of scientific notation.