Answer :

Certainly! Let's perform the multiplication and express the answer in proper scientific notation.

1. Identify the given values:
[tex]\[ a = 2.60 \times 10^{-5} \][/tex]
[tex]\[ b = 2.10 \times 10^{-5} \][/tex]

2. Multiply the significant figures:
[tex]\[ (2.60) \times (2.10) = 5.46 \][/tex]

3. Multiply the powers of 10:
Using the property of exponents [tex]\(10^a \times 10^b = 10^{a+b}\)[/tex]:
[tex]\[ 10^{-5} \times 10^{-5} = 10^{-10} \][/tex]

4. Combine the results to get the product:
[tex]\[ (2.60 \times 10^{-5}) \times (2.10 \times 10^{-5}) = 5.46 \times 10^{-10} \][/tex]

5. Express in scientific notation:
The result of the multiplication is already in scientific notation.
[tex]\[ 5.46 \times 10^{-10} \][/tex]

Therefore, the product of [tex]\(2.60 \times 10^{-5} \times 2.10 \times 10^{-5}\)[/tex] is:
[tex]\[ 5.46 \times 10^{-10} \][/tex]