Basic Math Examples

{(2 c)}^{6} {(2 c)}^{- 2}

${(2 c)}^{6} {(2 c)}^{- 2}$

Step 1

Multiply

{(2 c)}^{6}

${(2 c)}^{6}$ by

{(2 c)}^{- 2}

${(2 c)}^{- 2}$ by adding the exponents.

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Step 1.1

Use the power rule

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

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

{(2 c)}^{6 - 2}

${(2 c)}^{6 - 2}$

Step 1.2

Subtract

2

$2$ from

6

$6$ .

{(2 c)}^{4}

${(2 c)}^{4}$

{(2 c)}^{4}

${(2 c)}^{4}$

Step 2

Apply the product rule to

2 c

$2 c$ .

2^{4} c^{4}

$2^{4} c^{4}$

Step 3

Raise

2

$2$ to the power of

4

$4$ .

16 c^{4}

$16 c^{4}$

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

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