Answer:
[tex]0.461\times10^{17}[/tex]
Explanation:
The expression can be written as:
[tex]\frac{3\times10^8}{6.5\times10^{-9}}[/tex]
That can be further simplified as:
[tex]\frac{3}{6.5}\times \frac{10^8}{10^{-9}}[/tex]
Using [tex]\frac{1}{a^{-x}} = a^x\\\\ \frac{1}{10^{-9}}=10^9[/tex]
Also, using the law of indices:
[tex]a^x\times a^y= a^{(x+y)}\\\\10^8\times10^9= 10^{(8+9)}= 10^{17}[/tex]
Also, [tex]\frac{3}{6.5}=0.465[/tex]
Now, the expression becomes:
[tex]=0.465\times10^8\times10^9\\=0.465\times10^{(8+9)}\\\\=0.465\times10^{17}[/tex]
Therefore, the answer is [tex]0.465\times10^{17}[/tex].
