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