Sure! Let's perform the multiplication step-by-step.
1. Write the given numbers:
[tex]\[
2.60 \times 10^{-5} \quad \text{and} \quad 2.10 \times 10^{-5}
\][/tex]
2. Multiply the coefficients:
[tex]\[
2.60 \times 2.10 = 5.46
\][/tex]
3. Multiply the powers of ten:
[tex]\[
10^{-5} \times 10^{-5} = 10^{-10}
\][/tex]
4. Combine the results:
[tex]\[
(2.60 \times 2.10) \times (10^{-5} \times 10^{-5}) = 5.46 \times 10^{-10}
\][/tex]
Therefore, the result of the operation [tex]\(2.60 \times 10^{-5} \times 2.10 \times 10^{-5}\)[/tex] is:
[tex]\[
5.46 \times 10^{-10}
\][/tex]
So, in scientific notation, the answer is:
[tex]\[
5.46 \times 10^{-10}
\][/tex]
