This question is based on the concept of multiplication. Therefore, the product of [tex](3 \times 10^9) \times (2 \times 10^{17})[/tex] is [tex]\bold {6 \times 10^{26}}[/tex] .
Given that:
Expression is [tex](3 \times 10^9) \times (2 \times 10^{17})[/tex].
We need to calculate the product of [tex](3 \times 10^9) \times (2 \times 10^{17})[/tex].
According to the question,
First of all, separate the like terms as follows and solve it further,
We get,
⇒ [tex](3 \times 2) \times ( 10^9 \times 10^{17})[/tex]
As we know that,
By using algebraic property that is,
⇒ [tex]x^m \times x^n = x^{m+n}[/tex]
Now by applying this property we get,
⇒ [tex]( 6) \times ( 10^{9+17})[/tex]
Further, we proceed and solve it.
⇒ [tex]6 \times 10^{23}[/tex]
Therefore, the product of [tex](3 \times 2) \times ( 10^9 \times 10^{17})[/tex] is [tex]6 \times 10^{23}[/tex].
For further details, prefer this link:
https://brainly.com/question/5992872
