Algebra Examples

${(6 \cdot 10^{5})}^{2}$

Step 1

Apply the product rule to $6 \cdot 10^{5}$ .

$6^{2} \cdot {(10^{5})}^{2}$

Step 2

Raise $6$ to the power of $2$ .

$36 \cdot {(10^{5})}^{2}$

Step 3

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

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Step 3.1

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

$36 \cdot 10^{5 \cdot 2}$

Step 3.2

Multiply $5$ by $2$ .

$36 \cdot 10^{10}$

Step 4

Move the decimal point in $36$ to the left by $1$ place and increase the power of $10^{10}$ by $1$ .

$3.6 \cdot 10^{11}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$3.6 \cdot 10^{11}$

Expanded Form:

$360000000000$