Pre-Algebra Examples

$\frac{{(x^{6})}^{6}}{x^{3}}$

Step 1

Multiply the exponents in ${(x^{6})}^{6}$ .

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Step 1.1

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

$\frac{x^{6 \cdot 6}}{x^{3}}$

Step 1.2

Multiply $6$ by $6$ .

$\frac{x^{36}}{x^{3}}$

Step 2

Cancel the common factor of $x^{36}$ and $x^{3}$ .

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Step 2.1

Factor $x^{3}$ out of $x^{36}$ .

$\frac{x^{3} x^{33}}{x^{3}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{x^{3} x^{33}}{x^{3} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{3} x^{33}}{x^{3} \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{x^{33}}{1}$

Step 2.2.4

Divide $x^{33}$ by $1$ .

$x^{33}$