Finite Math Examples

${(\frac{x^{n}}{x^{n - 2}})}^{3}$

Step 1

Cancel the common factor of $x^{n}$ and $x^{n - 2}$ .

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Step 1.1

Factor $x^{n - 2}$ out of $x^{n}$ .

${(\frac{x^{n - 2} x^{n - (n - 2)}}{x^{n - 2}})}^{3}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Multiply by $1$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 1.2.4

Divide $x^{n - (n - 2)}$ by $1$ .

${(x^{n - (n - 2)})}^{3}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

${(x^{n - n - - 2})}^{3}$

Step 2.2

Multiply $- 1$ by $- 2$ .

${(x^{n - n + 2})}^{3}$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $n$ from $n$ .

${(x^{0 + 2})}^{3}$

Step 3.2

Simplify the expression.

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Step 3.2.1

Add $0$ and $2$ .

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

Step 3.2.2

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

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Step 3.2.2.1

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

$x^{2 \cdot 3}$

Step 3.2.2.2

Multiply $2$ by $3$ .

$x^{6}$