Algebra Examples

{(\frac{2^{4}}{3^{4}})}^{\frac{1}{8}}

${(\frac{2^{4}}{3^{4}})}^{\frac{1}{8}}$

Step 1

Raise

2

$2$ to the power of

4

$4$ .

{(\frac{16}{3^{4}})}^{\frac{1}{8}}

${(\frac{16}{3^{4}})}^{\frac{1}{8}}$

Step 2

Raise

3

$3$ to the power of

4

$4$ .

{(\frac{16}{81})}^{\frac{1}{8}}

${(\frac{16}{81})}^{\frac{1}{8}}$

Step 3

Apply the product rule to

\frac{16}{81}

$\frac{16}{81}$ .

\frac{16^{\frac{1}{8}}}{81^{\frac{1}{8}}}

$\frac{16^{\frac{1}{8}}}{81^{\frac{1}{8}}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{16^{\frac{1}{8}}}{81^{\frac{1}{8}}}

$\frac{16^{\frac{1}{8}}}{81^{\frac{1}{8}}}$

Decimal Form:

0.81649658 \dots

$0.81649658 \dots$

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

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