At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
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]
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]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.