Basic Math Examples

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

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

Step 1

Apply the product rule to

6 \cdot 10^{5}

$6 \cdot 10^{5}$ .

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

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

Step 2

Raise

6

$6$ to the power of

2

$2$ .

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

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

Step 3

Multiply the exponents in

{(10^{5})}^{2}

${(10^{5})}^{2}$ .

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Step 3.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

36 \cdot 10^{5 \cdot 2}

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

Step 3.2

Multiply

5

$5$ by

2

$2$ .

36 \cdot 10^{10}

$36 \cdot 10^{10}$

36 \cdot 10^{10}

$36 \cdot 10^{10}$

Step 4

Move the decimal point in

36

$36$ to the left by

1

$1$ place and increase the power of

10^{10}

$10^{10}$ by

1

$1$ .

3.6 \cdot 10^{11}

$3.6 \cdot 10^{11}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

3.6 \cdot 10^{11}

$3.6 \cdot 10^{11}$

Expanded Form:

360000000000

$360000000000$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$