Question

What is the solution to . (3x10^2)x(5x10^5) written in scientific notation .

Answer 1

The scientific notation:

$a\cdot10^k,\ 1\leq a < 10,\ k\in\mathbb{Z}$

$(3\cdot10^2)(5\cdot10^5)=[(3)(5)][(10^2)(10^5)]=15\cdot10^{2+5}=15\cdot10^7\\\\=1.5\cdot10\cdot10^7=1.5\cdot10^8\\\\Answer:\ (3\cdot10^2)(5\cdot10^5)=1.5\cdot10^8\\\\Used\ a^n\cdot a^m=a^{n+m}$