Question

(8.96 x 10^4) (7.97 x 10^9)/2.54 x10^6

Answer 1

`\text{Scientific notation:}\\\\a\cdot10^k\\\\\text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}.`

`((8.96\cdot10^4)(7.97\cdot10^9))/(2.54\cdot10^6)=((8.96)(7.97))/(2.54)\cdot((10^4)(10^9))/(10^6)\\\\\text{Use}\ a^n\cdot a^m=a^(n+m)\ \text{and}\ (a^n)/(a^m)=a^(n-m)\\\\=(71.4112)/(2.54)\cdot10^(4+9-6)=(7141.12)/(254)\cdot10^7\approx28.11\cdot10^7\\\\=2.811\cdot10\cdot10^7=2.811\cdot10^(7+1)\\\\=\boxed{2.811\cdot10^8}`