Basic Math Examples

(2.8 \cdot 10^{5}) (8 \cdot 10^{- 8})

$(2.8 \cdot 10^{5}) (8 \cdot 10^{- 8})$

Step 1

Multiply

2.8

$2.8$ by

8

$8$ .

22.4 (10^{5} \cdot 10^{- 8})

$22.4 (10^{5} \cdot 10^{- 8})$

Step 2

Multiply

10^{5}

$10^{5}$ by

10^{- 8}

$10^{- 8}$ 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.

22.4 \cdot 10^{5 - 8}

$22.4 \cdot 10^{5 - 8}$

Step 2.2

Subtract

8

$8$ from

5

$5$ .

22.4 \cdot 10^{- 3}

$22.4 \cdot 10^{- 3}$

22.4 \cdot 10^{- 3}

$22.4 \cdot 10^{- 3}$

Step 3

Move the decimal point in

22.4

$22.4$ to the left by

1

$1$ place and increase the power of

10^{- 3}

$10^{- 3}$ by

1

$1$ .

2.24 \cdot 10^{- 2}

$2.24 \cdot 10^{- 2}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

2.24 \cdot 10^{- 2}

$2.24 \cdot 10^{- 2}$

Expanded Form:

0.0224

$0.0224$

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

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