Alright, let's simplify the expression \(8\left(8.8 \times 10^{12}\right)\) and express it in scientific notation. Here's a step-by-step solution:
1. Multiply the Constants:
First, we start by multiplying the constants:
[tex]\[
8 \times 8.8 = 70.4
\][/tex]
2. Handle the Exponent:
The expression within the parentheses is \(8.8 \times 10^{12}\), so we didn't change the exponent part during the multiplication. The exponent remains \(10^{12}\).
3. Combine the Results:
Now, we combine the result of the multiplication with the exponent part. Therefore, we have:
[tex]\[
70.4 \times 10^{12}
\][/tex]
4. Expressing in Scientific Notation:
To ensure the result is in proper scientific notation, we notice here that \(70.4\) is already within an acceptable form. The scientific notation requires the coefficient (the number part) to be between 1 and 10. In this case, \(70.4\) is appropriate:
[tex]\[
70.4 \times 10^{12}
\][/tex]
After detailed consideration, the simplified expression, written in scientific notation, is:
[tex]\[70.4 \times 10^{12}\][/tex]
Thus, from the provided options, the correct one is:
[tex]\[70.4 \times 10^{12}\][/tex]
