Final answer:
To solve (4×10^5)×0.0375, multiply 4 by 0.0375 to get 0.15, and then apply the power of ten, resulting in 1.5×10^4 or 15,000.
Step-by-step explanation:
The question asks to multiply two numbers: (4×105)×0.0375. To solve it, we perform the multiplication step by step. First, we focus on the numerical values without considering the powers of ten, which gives us: 4×0.0375 = 0.15. Next, we combine the powers of ten: 105 doesn't change as there is no additional power to combine it with.
Therefore, the final result of the multiplication is 0.15×105. This can also be written as 1.5×104 or 15,000 in standard numeric form.