Finite Math Examples

${(\sqrt[9]{x})}^{9}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[9]{x}$ as $x^{\frac{1}{9}}$ .

${(x^{\frac{1}{9}})}^{9}$

Step 2

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

$x^{\frac{1}{9} \cdot 9}$

Step 3

Combine $\frac{1}{9}$ and $9$ .

$x^{\frac{9}{9}}$

Step 4

Cancel the common factor of $9$ .

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Step 4.1

Cancel the common factor.

$x^{\frac{9}{9}}$

Step 4.2

Rewrite the expression.

$x^{1}$

Step 5

Simplify.

$x$