Basic Math Examples

(3 \cdot 10^{8}) (4 \cdot 10^{- 2})

$(3 \cdot 10^{8}) (4 \cdot 10^{- 2})$

Step 1

Multiply

3

$3$ by

4

$4$ .

12 (10^{8} \cdot 10^{- 2})

$12 (10^{8} \cdot 10^{- 2})$

Step 2

Multiply

10^{8}

$10^{8}$ 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.

12 \cdot 10^{8 - 2}

$12 \cdot 10^{8 - 2}$

Step 2.2

Subtract

2

$2$ from

8

$8$ .

12 \cdot 10^{6}

$12 \cdot 10^{6}$

12 \cdot 10^{6}

$12 \cdot 10^{6}$

Step 3

Move the decimal point in

12

$12$ to the left by

1

$1$ place and increase the power of

10^{6}

$10^{6}$ by

1

$1$ .

1.2 \cdot 10^{7}

$1.2 \cdot 10^{7}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

1.2 \cdot 10^{7}

$1.2 \cdot 10^{7}$

Expanded Form:

12000000

$12000000$

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

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