Basic Math Examples

(3.9 \cdot 10^{- 2}) (9.5 \cdot 10^{4})

$(3.9 \cdot 10^{- 2}) (9.5 \cdot 10^{4})$

Step 1

Multiply

3.9

$3.9$ by

9.5

$9.5$ .

37.05 (10^{- 2} \cdot 10^{4})

$37.05 (10^{- 2} \cdot 10^{4})$

Step 2

Multiply

10^{- 2}

$10^{- 2}$ by

10^{4}

$10^{4}$ 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.

37.05 \cdot 10^{- 2 + 4}

$37.05 \cdot 10^{- 2 + 4}$

Step 2.2

Add

- 2

$- 2$ and

4

$4$ .

37.05 \cdot 10^{2}

$37.05 \cdot 10^{2}$

37.05 \cdot 10^{2}

$37.05 \cdot 10^{2}$

Step 3

Move the decimal point in

37.05

$37.05$ to the left by

1

$1$ place and increase the power of

10^{2}

$10^{2}$ by

1

$1$ .

3.705 \cdot 10^{3}

$3.705 \cdot 10^{3}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

3.705 \cdot 10^{3}

$3.705 \cdot 10^{3}$

Expanded Form:

3705

$3705$

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

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