Answer :
Answer:
[tex]\large\boxed{\bigg(4\times10^8\bigg)^2=1.6\times10^{17}}[/tex]
Step-by-step explanation:
[tex]\text{The sicientific notation:}\ a\times10^k,\ \text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}.\\\\\bigg(4\times10^8\bigg)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=4^2\times\left(10^8\right)^2\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=16\times10^{16}\ -\ \text{this is not a scientific notation yet}\ a=16>10\\\\=1.6\times10\times10^{16}\qquad\text{use}\ a^n\times a^m=a^{n+m}\\\\=1.6\times10^{17}[/tex]