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Question 1(Multiple Choice Worth 2 points)
(Multiplying and Dividing with Scientific Notation LC)
Find the product of (2 x 107) and (3 x 107). Write the final answer in scientific notation.
06 x 10014
06 x 1049
06 x 107
6 x 1014



Answer :

Certainly! Let's solve the problem step by step:

Given the two numbers in scientific notation:
[tex]\[ (2 \times 10^7) \quad \text{and} \quad (3 \times 10^7) \][/tex]

We need to find their product.

### Step 1: Multiply the Coefficients
First, multiply the coefficients:
[tex]\[ 2 \times 3 = 6 \][/tex]

### Step 2: Add the Exponents
Next, add the exponents of [tex]\(10\)[/tex]:
[tex]\[ 7 + 7 = 14 \][/tex]

### Step 3: Combine the Results
Now, combine the results of the coefficients and exponents:
[tex]\[ 6 \times 10^{14} \][/tex]

### Final Answer
The product of [tex]\( (2 \times 10^7) \)[/tex] and [tex]\( (3 \times 10^7) \)[/tex] in scientific notation is:
[tex]\[ 6 \times 10^{14} \][/tex]

So, the correct multiple-choice answer is:
[tex]\[ 6 \times 10^{14} \][/tex]