To solve the problem [tex]\(2.3 \times 10^{-4} \times 2.0 \times 10^{-6}\)[/tex] and express the answer in scientific notation, follow these steps:
1. Multiply the coefficients:
[tex]\[
2.3 \times 2.0 = 4.6
\][/tex]
2. Add the exponents:
[tex]\[
-4 + (-6) = -10
\][/tex]
3. Combine the result from the coefficient multiplication with the sum of the exponents:
[tex]\[
4.6 \times 10^{-10}
\][/tex]
Therefore, the solution to [tex]\(2.3 \times 10^{-4} \times 2.0 \times 10^{-6}\)[/tex] expressed in scientific notation is [tex]\(4.6 \times 10^{-10}\)[/tex].
So, the coefficient (green box) is:
[tex]\[
4.6
\][/tex]
And the exponent (yellow box) is:
[tex]\[
-10
\][/tex]
