Question

 What is the value of the expression simplified in Standard Notation:  (3.2×10^−2)(4.2×10^6)?/(5.2×10^5) (1 point)Responses0.260.260.000260.000260.00260.00262.6

Answer 1

To simplify the expression \((3.2 \times 10^{-2})(4.2 \times 10^6) / (5.2 \times 10^5)\), we can follow these steps:

1. **Multiply the numbers:**
\[
(3.2 \times 4.2) = 13.44
\]
\[
\text{For the powers of 10: } 10^{-2} \times 10^6 = 10^{(-2 + 6)} = 10^4
\]
So, the numerator becomes:
\[
13.44 \times 10^4
\]

2. **Combine the numerator:**
Thus, we have:
\[
\frac{13.44 \times 10^4}{5.2 \times 10^5}
\]

3. **Divide the numbers:**
\[
\frac{13.44}{5.2} \approx 2.585
\]

4. **Divide the powers of 10:**
\[
\frac{10^4}{10^5} = 10^{(4 - 5)} = 10^{-1}
\]

5. **Combine the results:**
So, we multiply:
\[
2.585 \times 10^{-1} = 0.2585
\]

6. **Convert to standard notation:**
Rounding to 3 decimal places, we get:
\[
0.259
\]

Among the given options, the closest value would be 0.26.

Therefore, the final answer is **0.26**.