Evaluate (3*10^5)^2

${(3 \cdot 10^{5})}^{2}$

Step 1

Apply the product rule to $3 \cdot 10^{5}$ .

$3^{2} \cdot {(10^{5})}^{2}$

Step 2

Raise $3$ to the power of $2$ .

$9 \cdot {(10^{5})}^{2}$

Step 3

Multiply the exponents in ${(10^{5})}^{2}$ .

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

$9 \cdot 10^{5 \cdot 2}$

Multiply $5$ by $2$ .

$9 \cdot 10^{10}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$9 \cdot 10^{10}$

Expanded Form:

$90000000000$