Which expression is equivalent to the given expression?

Let’s simplify the given expression step by step:

1. Start with the first part of the expression:

[(9 × 10^6) / (1 × 10^{-8})]

When dividing, you can subtract the exponents:

[

= 9 × 10^{6 – (-8)} = 9 × 10^{6 + 8} = 9 × 10^{14}

]

2. Now, we’ll add the second part of the expression:

[9 × 10^{14} + (3 × 10^{-8})]

Since (10^{-8}) is much smaller than (10^{14}), you can ignore it for the sake of addition. However, if you want to express everything in the same power of ten, we would convert (3 × 10^{-8}) to the same base:

[

= 9 × 10^{14} + 0.00000003 × 10^{14} = 9 × 10^{14} + 0.00000003 × 10^{14} = (9 + 0.00000003) × 10^{14} approx 9 × 10^{14}

]

Therefore, this addition does not significantly change the result.

3. As a result, the simplified expression approximately equals (9 × 10^{14}).

Given the