Basic Math Examples

(2.3 \cdot 10^{6}) (6 \cdot 10^{- 2})

$(2.3 \cdot 10^{6}) (6 \cdot 10^{- 2})$

Step 1

Multiply

2.3

$2.3$ by

6

$6$ .

13.8 (10^{6} \cdot 10^{- 2})

$13.8 (10^{6} \cdot 10^{- 2})$

Step 2

Multiply

10^{6}

$10^{6}$ by

10^{- 2}

$10^{- 2}$ by adding the exponents.

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Step 2.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

13.8 \cdot 10^{6 - 2}

$13.8 \cdot 10^{6 - 2}$

Step 2.2

Subtract

2

$2$ from

6

$6$ .

13.8 \cdot 10^{4}

$13.8 \cdot 10^{4}$

13.8 \cdot 10^{4}

$13.8 \cdot 10^{4}$

Step 3

Move the decimal point in

13.8

$13.8$ to the left by

1

$1$ place and increase the power of

10^{4}

$10^{4}$ by

1

$1$ .

1.38 \cdot 10^{5}

$1.38 \cdot 10^{5}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

1.38 \cdot 10^{5}

$1.38 \cdot 10^{5}$

Expanded Form:

138000

$138000$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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