Final answer:
The product of (4x10^3) x (6x10^-5) is calculated by multiplying the coefficients and adding the exponents, resulting in 24x10^-2. Converting to standard form, the final answer is 2.4 x 10^-1.
Step-by-step explanation:
To calculate the product of (4x10^3) x (6x10^-5) and express the answer in standard form, we need to use the laws of exponents for multiplication. When multiplying two powers of ten, we add the exponents together. First, multiply the coefficients (4 and 6), which gives us 24. Then, add the exponents (3 and -5), which gives us -2. Therefore, the product is 24x10^-2.
To express this product in standard form, which is a x 10^n where 1 ≤ a < 10, we need to adjust the coefficient to be within this range. We can write 24 as 2.4 x 10^1. Now we have (2.4 x 10^1) x (10^-2), which simplifies to 2.4 x 10^(1-2) or 2.4 x 10^-1.
Therefore, the final answer in standard form is 2.4 x 10^-1.