Algebra Examples

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

Step 1

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

Tap for more steps...

Step 1.1

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

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

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Multiply by $1$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 1.2.4

Divide $3^{2}$ by $1$ .

${(3^{2})}^{2}$

Step 2

Simplify the expression.

Tap for more steps...

Step 2.1

Multiply the exponents in ${(3^{2})}^{2}$ .

Tap for more steps...

Step 2.1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$3^{2 \cdot 2}$

Step 2.1.2

Multiply $2$ by $2$ .

$3^{4}$

Step 2.2

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

$81$