Basic Math Examples

4^{- 4} \cdot 4^{4}

$4^{- 4} \cdot 4^{4}$

Step 1

Multiply

4^{- 4}

$4^{- 4}$ by

4^{4}

$4^{4}$ 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.

4^{- 4 + 4}

$4^{- 4 + 4}$

Step 1.2

Add

- 4

$- 4$ and

4

$4$ .

4^{0}

$4^{0}$

4^{0}

$4^{0}$

Step 2

Simplify

4^{0}

$4^{0}$ .

1

$1$

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

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