What is the value of n in the equation 2.3 × 10^9 = (1 × 10^3)(2.3 × 10^n)?

To solve the equation (2.3 times 10^9 = (1 times 10^3)(2.3 times 10^n)), we can simplify the right side:

1. Distribute (1 times 10^3):

[

(1 times 10^3)(2.3 times 10^n) = 2.3 times 10^{3+n}

]

2. Now, we rewrite the equation:

[

2.3 times 10^9 = 2.3 times 10^{3+n}

]

3. Since the (2.3) terms are the same, we can set the exponents equal to each other:

[

9 = 3 + n

]

4. Solve for (n):

[

n = 9 – 3 = 6

]

Thus, the value of (n) is 6. The correct answer is B) 6.