Basic Math Examples

{({(2^{2})}^{2})}^{2}

${({(2^{2})}^{2})}^{2}$

Step 1

Multiply the exponents in

{({(2^{2})}^{2})}^{2}

${({(2^{2})}^{2})}^{2}$ .

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Step 1.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

{(2^{2})}^{2 \cdot 2}

${(2^{2})}^{2 \cdot 2}$

Step 1.2

Multiply

2

$2$ by

2

$2$ .

{(2^{2})}^{4}

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

{(2^{2})}^{4}

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

Step 2

Multiply the exponents in

{(2^{2})}^{4}

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

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Step 2.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

2^{2 \cdot 4}

$2^{2 \cdot 4}$

Step 2.2

Multiply

2

$2$ by

4

$4$ .

2^{8}

$2^{8}$

2^{8}

$2^{8}$

Step 3

Raise

2

$2$ to the power of

8

$8$ .

256

$256$

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

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