Final answer:
To simplify (2.7 x 10^4) (3.5 x 10^3), multiply 2.7 by 3.5 to get 9.45, and add the exponents (4+3) to get 10^7. The final answer is 9.45 x 10^7 which corresponds to option A.
Step-by-step explanation:
To simplify the expression (2.7 x 10^4) (3.5 x 10^3), you multiply the numerical parts and then the exponential parts separately:
- Multiply the numerical coefficients: 2.7 x 3.5 = 9.45
- Add the exponents of powers of 10, as they have the same base: 10^4 x 10^3 = 10^4+3 = 10^7
So, (2.7 x 10^4) (3.5 x 10^3) simplifies to 9.45 x 10^7.
The correct option is A. 9.45 x 10^7