Algebra Examples

$3^{7} \cdot \frac{1}{3^{4}}$

Step 1

Evaluate the exponents.

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Step 1.1

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

$3^{7} \cdot \frac{1}{81}$

Step 1.2

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

$2187 \cdot \frac{1}{81}$

$2187 \cdot \frac{1}{81}$

Step 2

Cancel the common factor of $81$ .

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Step 2.1

Factor $81$ out of $2187$ .

$81 (27) \cdot \frac{1}{81}$

Step 2.2

Cancel the common factor.

$81 \cdot 27 \cdot \frac{1}{81}$

Step 2.3

Rewrite the expression.

$27$

$27$

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