Basic Math Examples

${(3^{3} \div 3)}^{3}$

Step 1

Rewrite the division as a fraction.

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

Step 2

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

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Step 2.1

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

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $3$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

Step 2.2.4

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

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

Step 3

Simplify the expression.

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Step 3.1

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

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Step 3.1.1

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

$3^{2 \cdot 3}$

Step 3.1.2

Multiply $2$ by $3$ .

$3^{6}$

Step 3.2

Raise $3$ to the power of $6$ .

$729$