Evaluate Using Scientific Notation (4*10^8)^2

${(4 \cdot 10^{8})}^{2}$

Apply the product rule to $4 \cdot 10^{8}$ .

$4^{2} \cdot {(10^{8})}^{2}$

Raise $4$ to the power of $2$ .

$16 \cdot {(10^{8})}^{2}$

Multiply the exponents in ${(10^{8})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$16 \cdot 10^{8 \cdot 2}$

Multiply $8$ by $2$ .

$16 \cdot 10^{16}$

Write $16 \cdot 10^{16}$ in proper scientific notation.

$1.6 \cdot 10^{17}$