Question

Write the answer in scientific notation:

3.6x10^-5
________
4.8x10^-7

Answer 1

`\text{Scientific notation:}\ a\cdot10^k\\\\\text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}.\\\\\text{Use}\ (a^n)/(a^m)=a^(n-m).\\\\-------------------------\\\\(3.6\cdot10^(-5))/(4.8\cdot10^(-7))=(3.6)/(4.8)\cdot(10^(-5))/(10^(-7))=0.75\cdot10^(-5-(-7))=0.75\cdot10^(-5+7)\\\\=0.75\cdot10^2=7.5\cdot10^(-1)\cdot10^2=7.5\cdot10^(-1+2)=\boxed{7.5\cdot10}`