Evaluate Using Scientific Notation (5*10^4)^2

${(5 \cdot 10^{4})}^{2}$

Apply the product rule to $5 \cdot 10^{4}$ .

$5^{2} \cdot {(10^{4})}^{2}$

Raise $5$ to the power of $2$ .

$25 \cdot {(10^{4})}^{2}$

Multiply the exponents in ${(10^{4})}^{2}$ .

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

$25 \cdot 10^{4 \cdot 2}$

Multiply $4$ by $2$ .

$25 \cdot 10^{8}$

Write $25 \cdot 10^{8}$ in proper scientific notation.

$2.5 \cdot 10^{9}$