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Perform the following operation and express the answer in proper scientific notation.

[tex]\[
\begin{array}{c}
2.3 \times 10^{-4} \times 2.0 \times 10^{-6} \\
{[?] \times 10^{[?]}}
\end{array}
\][/tex]

Enter the coefficient for the green box and the exponent only for the yellow box.



Answer :

GinnyAnswer
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]

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