Algebra Examples

{(\frac{1}{8})}^{x} + {(\frac{1}{8})}^{x - 2}

${(\frac{1}{8})}^{x} + {(\frac{1}{8})}^{x - 2}$

Step 1

Apply the product rule to

\frac{1}{8}

$\frac{1}{8}$ .

\frac{1^{x}}{8^{x}} + {(\frac{1}{8})}^{x - 2}

$\frac{1^{x}}{8^{x}} + {(\frac{1}{8})}^{x - 2}$

Step 2

One to any power is one.

\frac{1}{8^{x}} + {(\frac{1}{8})}^{x - 2}

$\frac{1}{8^{x}} + {(\frac{1}{8})}^{x - 2}$

Step 3

Apply the product rule to

\frac{1}{8}

$\frac{1}{8}$ .

\frac{1}{8^{x}} + \frac{1^{x - 2}}{8^{x - 2}}

$\frac{1}{8^{x}} + \frac{1^{x - 2}}{8^{x - 2}}$

Step 4

One to any power is one.

\frac{1}{8^{x}} + \frac{1}{8^{x - 2}}

$\frac{1}{8^{x}} + \frac{1}{8^{x - 2}}$

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

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