An expression is shown.

Question

(4 × 10^4) × (3 × 10^-2)/
(6 × 10^6)

Which expression is equivalent?
Responses
A 2 × 10^4
B 2 × 10^6
C 2 × 10^5
D 2 × 10^-4

Answer 1

To simplify the expression \((4 \times 10^4) \times (3 \times 10^{-2}) / (6 \times 10^6)\), we can follow these steps:

1. Multiply the numerators: \[ (4 \times 10^4) \times (3 \times 10^{-2}) = (4 \times 3) \times (10^4 \times 10^{-2}) = 12 \times 10^{4 - 2} = 12 \times 10^2 \]

2. Divide by the denominator: \[ \frac{12 \times 10^2}{6 \times 10^6} = \frac{12}{6} \times \frac{10^2}{10^6} = 2 \times 10^{2 - 6} = 2 \times 10^{-4} \]

Thus, the simplified expression is \(2 \times 10^{-4}\).

The equivalent expression from the options provided is: D \(2 \times 10^{-4}\)