Algebra Examples

${(\frac{3^{4}}{7^{3}})}^{3}$

Step 1

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

${(\frac{81}{7^{3}})}^{3}$

Step 2

Raise $7$ to the power of $3$ .

${(\frac{81}{343})}^{3}$

Step 3

Apply the product rule to $\frac{81}{343}$ .

$\frac{81^{3}}{343^{3}}$

Step 4

Raise $81$ to the power of $3$ .

$\frac{531441}{343^{3}}$

Step 5

Raise $343$ to the power of $3$ .

$\frac{531441}{40353607}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{531441}{40353607}$

Decimal Form:

$0.01316960 \dots$

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