Verified Answer :

dalendrk

\(The\ scientific\ notation:a\cdot10^n\ where\ 1\leq a \ \textless \ 10\ and\ n\in\mathbb{Z}\\----------------------------\\\\(9\cdot10^7)(7\cdot10^9)=(9\cdot7)(10^7\cdot10^9)=63\cdot10^{7+9}\\\\=63\cdot10^{16}=6.3\cdot10^{16+1}=6.3\cdot10^{17}\)

SociometricStar

Answer:

\(6.3\times10^{17}\)

Step-by-step explanation:

We have to multiply the expression

\((9\times10^7)\times(7\times10^9)\)

We can rewrite this multiplication as

\((9\times7(10^7\times10^9)\)

Now, use the exponent rule, \(x^a\cdot x^b=a^{a+b}\)

\(63\times10^{7+9}\\\\=63\times10^{16}\)

Finally, write in scientific notation

\(6.3\times10^{17}\)

Last option is correct.

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