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]
