Algebra Examples

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

Step 1

Raise $2$ to the power of $4$ .

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

Step 2

Raise $3$ to the power of $4$ .

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

Step 3

Apply the product rule to $\frac{16}{81}$ .

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.81649658 \dots$

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