Certainly! Let's walk through the steps to perform the operation:
### Step-by-Step Solution:
1. Multiply the Coefficients:
First, we need to multiply the numerical coefficients together.
[tex]\[
7.15 \times 6.10
\][/tex]
This multiplication results in:
[tex]\[
43.615
\][/tex]
2. Add the Exponents:
Next, we need to add the exponents of the base 10 numbers.
[tex]\[
10^3 \times 10^{-5}
\][/tex]
To add the exponents, we simply add the numbers:
[tex]\[
3 + (-5) = -2
\][/tex]
3. Express in Scientific Notation:
Now, combine the results from the above steps to express the answer in scientific notation.
[tex]\[
43.615 \times 10^{-2}
\][/tex]
### Final Answer:
- Coefficient (green): [tex]\( 43.615 \)[/tex]
- Exponent (yellow): [tex]\( -2 \)[/tex]
So, the result of [tex]\( 7.15 \times 10^3 \times 6.10 \times 10^{-5} \)[/tex] expressed in scientific notation is:
[tex]\[
43.615 \times 10^{-2}
\][/tex]
