Question

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

Answer 1

$\text{Scientific notation:}\\\\a\cdot10^k\\\\\text{where}\ 1\leq a$

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