Basic Math Examples

(6.42 \cdot 10^{23}) (6.673 \cdot 10^{- 1})

$(6.42 \cdot 10^{23}) (6.673 \cdot 10^{- 1})$

Step 1

Multiply

6.42

$6.42$ by

6.673

$6.673$ .

42.84066 (10^{23} \cdot 10^{- 1})

$42.84066 (10^{23} \cdot 10^{- 1})$

Step 2

Multiply

10^{23}

$10^{23}$ by

10^{- 1}

$10^{- 1}$ 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.

42.84066 \cdot 10^{23 - 1}

$42.84066 \cdot 10^{23 - 1}$

Step 2.2

Subtract

1

$1$ from

23

$23$ .

42.84066 \cdot 10^{22}

$42.84066 \cdot 10^{22}$

42.84066 \cdot 10^{22}

$42.84066 \cdot 10^{22}$

Step 3

Move the decimal point in

42.84066

$42.84066$ to the left by

1

$1$ place and increase the power of

10^{22}

$10^{22}$ by

1

$1$ .

4.284066 \cdot 10^{23}

$4.284066 \cdot 10^{23}$

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

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