Let's calculate [tex]\((1.2 \times 10^3) \cdot (2.7 \times 10^5)\)[/tex] step-by-step and then express the result in scientific notation.
1. Break Down the Components:
- First, consider the coefficients [tex]\(1.2\)[/tex] and [tex]\(2.7\)[/tex].
- Next, consider the powers of 10: [tex]\(10^3\)[/tex] and [tex]\(10^5\)[/tex].
2. Multiply the Coefficients:
[tex]\[
1.2 \times 2.7 = 3.24
\][/tex]
3. Multiply the Powers of 10:
[tex]\[
10^3 \times 10^5 = 10^{3+5} = 10^8
\][/tex]
4. Combine Both Results:
[tex]\[
(1.2 \times 10^3) \cdot (2.7 \times 10^5) = 3.24 \times 10^8
\][/tex]
5. Express the Result in Scientific Notation:
The final result is already in scientific notation as [tex]\(3.24 \times 10^8\)[/tex].
So, the result of [tex]\((1.2 \times 10^3) \cdot (2.7 \times 10^5)\)[/tex] is [tex]\(3.24 \times 10^8\)[/tex].
