Basic Math Examples

$\frac{6^{4} \div 3^{2}}{9}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$6^{4} \div 3^{2} \cdot \frac{1}{9}$

Step 2

Combine fractions.

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Step 2.1

Combine.

$\frac{6^{4} \cdot 1}{3^{2} \cdot 9}$

Step 2.2

Multiply $6^{4}$ by $1$ .

$\frac{6^{4}}{3^{2} \cdot 9}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $9$ as $3^{2}$ .

$\frac{6^{4}}{3^{2} \cdot 3^{2}}$

Step 3.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6^{4}}{3^{2 + 2}}$

Step 3.3

Add $2$ and $2$ .

$\frac{6^{4}}{3^{4}}$

Step 4

Simplify the expression.

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Step 4.1

Raise $6$ to the power of $4$ .

$\frac{1296}{3^{4}}$

Step 4.2

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

$\frac{1296}{81}$

Step 4.3

Divide $1296$ by $81$ .

$16$