Evaluate (0.00038*10^3)^2

${(0.00038 \cdot 10^{3})}^{2}$

Step 1

Move the decimal point in $0.00038$ to the right by $4$ places and decrease the power of $10^{3}$ by $4$ .

${(3.8 \cdot 10^{- 1})}^{2}$

Step 2

Apply the product rule to $3.8 \cdot 10^{- 1}$ .

${3.8}^{2} \cdot {(10^{- 1})}^{2}$

Step 3

Raise $3.8$ to the power of $2$ .

$14.44 \cdot {(10^{- 1})}^{2}$

Step 4

Multiply the exponents in ${(10^{- 1})}^{2}$ .

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

$14.44 \cdot 10^{- 1 \cdot 2}$

Multiply $- 1$ by $2$ .

$14.44 \cdot 10^{- 2}$

Step 5

Move the decimal point in $14.44$ to the left by $1$ place and increase the power of $10^{- 2}$ by $1$ .

$1.444 \cdot 10^{- 1}$

Step 6

The result can be shown in multiple forms.

Scientific Notation:

$1.444 \cdot 10^{- 1}$

Expanded Form:

$0.1444$