Question

Simplify the expression. Write the answer using scientific notation. (4 × 108)2 16 × 1016 1.6 × 1016 8 × 1017 1.6 × 1017

Answer 1

1.6 x 1017

Explanation:

Answer 2

`\large\boxed{\bigg(4*10^8\bigg)^2=1.6*10^(17)}`

Explanation:

`\text{The sicientific notation:}\ a*10^k,\ \text{where}\ 1\leq a<10\ \text{and}\ k\in\mathbb{Z}.\\\\\bigg(4*10^8\bigg)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=4^2*\left(10^8\right)^2\qquad\text{use}\ (a^n)^m=a^(nm)\\\\=16*10^(16)\ -\ \text{this is not a scientific notation yet}\ a=16>10\\\\=1.6*10*10^(16)\qquad\text{use}\ a^n* a^m=a^(n+m)\\\\=1.6*10^(17)`