Basic Math Examples

${(20 \cdot 10^{3})}^{2}$

Step 1

Move the decimal point in $20$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

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

Step 2

Apply the product rule to $2 \cdot 10^{4}$ .

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

Step 3

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

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

Step 4

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

Tap for more steps...

Step 4.1

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

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

Step 4.2

Multiply $4$ by $2$ .

$4 \cdot 10^{8}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$4 \cdot 10^{8}$

Expanded Form:

$400000000$