Answer: [tex]=1.9975031211\times10^{20}[/tex]
Step-by-step explanation:
The given expression : [tex](1.6\times10^2)\div(8.01\times10^{23})[/tex]
To divide the above expression, we need to divide the coefficients and exponents separately, then we have
[tex](1.6\div8.01)(10^2\div10^{23})[/tex]
Using the law of exponents to divide exponents number with same base (10):
[tex]a^m\div a^n=a^{m-n}[/tex]
[tex]\Rightarrow(1.6\div8.01)(10^2\div10^{23})=(0.19975031211)(10^{2-23})\\\\=(1.9975031211\times10)(10^{-21})\\\\=(1.9975031211)(106{-21+1})\\\\=1.9975031211\times10^{20}[/tex]
