Algebra Examples

${(\frac{3^{6}}{3^{5}})}^{- 2}$

Step 1

Cancel the common factor of $3^{6}$ and $3^{5}$ .

Tap for more steps...

Step 1.1

Factor $3^{5}$ out of $3^{6}$ .

${(\frac{3^{5} \cdot 3}{3^{5}})}^{- 2}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Multiply by $1$ .

${(\frac{3^{5} \cdot 3}{3^{5} \cdot 1})}^{- 2}$

Step 1.2.2

Cancel the common factor.

${(\frac{3^{5} \cdot 3}{3^{5} \cdot 1})}^{- 2}$

Step 1.2.3

Rewrite the expression.

${(\frac{3}{1})}^{- 2}$

Step 1.2.4

Divide $3$ by $1$ .

$3^{- 2}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{3^{2}}$

Step 3

Raise $3$ to the power of $2$ .

$\frac{1}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9}$

Decimal Form:

$0.\overline{1}$